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1230433440 = 25356142023
BaseRepresentation
bin100100101010110…
…1110110010100000
310011202021111100220
41021111232302200
510004442332230
6322032243040
742330340335
oct11125566240
93152244326
101230433440
11581602945
122a40a0480
13167bbb832
14b95b298c
157304cd10
hex4956eca0

1230433440 has 96 divisors (see below), whose sum is σ = 3939497856. Its totient is φ = 322728960.

The previous prime is 1230433403. The next prime is 1230433447. The reversal of 1230433440 is 443340321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1230433440.

It is not an unprimeable number, because it can be changed into a prime (1230433447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8269 + ... + 50291.

It is an arithmetic number, because the mean of its divisors is an integer number (41036436).

Almost surely, 21230433440 is an apocalyptic number.

1230433440 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 1230433440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969748928).

1230433440 is an abundant number, since it is smaller than the sum of its proper divisors (2709064416).

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

1230433440 is a wasteful number, since it uses less digits than its factorization.

1230433440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42102 (or 42094 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 1230433440 is about 35077.5346910241. The cubic root of 1230433440 is about 1071.5671100604.

Adding to 1230433440 its reverse (443340321), we get a palindrome (1673773761).

The spelling of 1230433440 in words is "one billion, two hundred thirty million, four hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 80 96 120 122 160 183 240 244 305 366 480 488 610 732 915 976 1220 1464 1830 1952 2440 2928 3660 4880 5856 7320 9760 14640 29280 42023 84046 126069 168092 210115 252138 336184 420230 504276 630345 672368 840460 1008552 1260690 1344736 1680920 2017104 2521380 2563403 3361840 4034208 5042760 5126806 6723680 7690209 10085520 10253612 12817015 15380418 20171040 20507224 25634030 30760836 38451045 41014448 51268060 61521672 76902090 82028896 102536120 123043344 153804180 205072240 246086688 307608360 410144480 615216720 1230433440