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3230400132 = 22322930710079
BaseRepresentation
bin1100000010001011…
…1111111010000100
322100010120022220100
43000202333322010
523103440301012
61252314404100
7143023643121
oct30042777204
98303508810
103230400132
111408527483
12761a30630
133c635398b
1422905d748
1513d9058dc
hexc08bfe84

3230400132 has 72 divisors (see below), whose sum is σ = 8475667200. Its totient is φ = 1036179648.

The previous prime is 3230400091. The next prime is 3230400137. The reversal of 3230400132 is 2310040323.

3230400132 is a `hidden beast` number, since 3 + 230 + 400 + 1 + 32 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3230400137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315469 + ... + 325547.

It is an arithmetic number, because the mean of its divisors is an integer number (117717600).

Almost surely, 23230400132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3230400132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4237833600).

3230400132 is an abundant number, since it is smaller than the sum of its proper divisors (5245267068).

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

3230400132 is a wasteful number, since it uses less digits than its factorization.

3230400132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10425 (or 10420 counting only the distinct ones).

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

The square root of 3230400132 is about 56836.6090825271. The cubic root of 3230400132 is about 1478.2643599291.

Adding to 3230400132 its reverse (2310040323), we get a palindrome (5540440455).

The spelling of 3230400132 in words is "three billion, two hundred thirty million, four hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 307 348 522 614 921 1044 1228 1842 2763 3684 5526 8903 10079 11052 17806 20158 26709 30237 35612 40316 53418 60474 80127 90711 106836 120948 160254 181422 292291 320508 362844 584582 876873 1169164 1753746 2630619 3094253 3507492 5261238 6188506 9282759 10522476 12377012 18565518 27848277 37131036 55696554 89733337 111393108 179466674 269200011 358933348 538400022 807600033 1076800044 1615200066 3230400132