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1230232320 = 2833535597
BaseRepresentation
bin100100101010011…
…1101101100000000
310011201220021111000
41021110331230000
510004414413240
6322024052000
742325542102
oct11124755400
93151807430
101230232320
11581485829
122a4004000
13167b4b125
14b955d572
157300d430
hex4953db00

1230232320 has 144 divisors (see below), whose sum is σ = 4365738720. Its totient is φ = 328052736.

The previous prime is 1230232301. The next prime is 1230232321. The reversal of 1230232320 is 232320321.

It is a happy number.

1230232320 is a `hidden beast` number, since 12 + 302 + 32 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×12302323202 = 3026943122345164800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1230232293 and 1230232302.

It is not an unprimeable number, because it can be changed into a prime (1230232321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16762 + ... + 52358.

It is an arithmetic number, because the mean of its divisors is an integer number (30317630).

Almost surely, 21230232320 is an apocalyptic number.

1230232320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1230232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2182869360).

1230232320 is an abundant number, since it is smaller than the sum of its proper divisors (3135506400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1230232320 is an equidigital number, since it uses as much as digits as its factorization.

1230232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35627 (or 35607 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 1230232320 is about 35074.6677817481. The cubic root of 1230232320 is about 1071.5087226896.

Adding to 1230232320 its reverse (232320321), we get a palindrome (1462552641).

The spelling of 1230232320 in words is "one billion, two hundred thirty million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 540 576 640 720 768 864 960 1080 1152 1280 1440 1728 1920 2160 2304 2880 3456 3840 4320 5760 6912 8640 11520 17280 34560 35597 71194 106791 142388 177985 213582 284776 320373 355970 427164 533955 569552 640746 711940 854328 961119 1067910 1139104 1281492 1423880 1601865 1708656 1922238 2135820 2278208 2562984 2847760 3203730 3417312 3844476 4271640 4556416 4805595 5125968 5695520 6407460 6834624 7688952 8543280 9112832 9611190 10251936 11391040 12814920 13669248 15377904 17086560 19222380 20503872 22782080 25629840 27338496 30755808 34173120 38444760 41007744 45564160 51259680 61511616 68346240 76889520 82015488 102519360 123023232 136692480 153779040 205038720 246046464 307558080 410077440 615116160 1230232320