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1230304000 = 285338447
BaseRepresentation
bin100100101010100…
…1111001100000000
310011202000220210211
41021111033030000
510004424212000
6322025403504
742326261062
oct11125171400
93152026724
101230304000
11581524672
122a4039594
13167b74943
14b957b732
15730247ba
hex4954f300

1230304000 has 72 divisors (see below), whose sum is σ = 3064920768. Its totient is φ = 492108800.

The previous prime is 1230303989. The next prime is 1230304001. The reversal of 1230304000 is 4030321.

It is not an unprimeable number, because it can be changed into a prime (1230304001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12777 + ... + 51223.

It is an arithmetic number, because the mean of its divisors is an integer number (42568344).

Almost surely, 21230304000 is an apocalyptic number.

1230304000 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 1230304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532460384).

1230304000 is an abundant number, since it is smaller than the sum of its proper divisors (1834616768).

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

1230304000 is an frugal number, since it uses more digits than its factorization.

1230304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38478 (or 38454 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 1230304000 is about 35075.6895869490. The cubic root of 1230304000 is about 1071.5295329199.

Adding to 1230304000 its reverse (4030321), we get a palindrome (1234334321).

The spelling of 1230304000 in words is "one billion, two hundred thirty million, three hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 640 800 1000 1280 1600 2000 3200 4000 6400 8000 16000 32000 38447 76894 153788 192235 307576 384470 615152 768940 961175 1230304 1537880 1922350 2460608 3075760 3844700 4805875 4921216 6151520 7689400 9611750 9842432 12303040 15378800 19223500 24606080 30757600 38447000 49212160 61515200 76894000 123030400 153788000 246060800 307576000 615152000 1230304000