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325160064 = 2732299733
BaseRepresentation
bin10011011000011…
…000110010000000
3211122211211202100
4103120120302000
51131220110224
652133150400
711025546345
oct2330306200
9748754670
10325160064
111575a9629
1290a8b400
1352499b08
14312827cc
151d82dac9
hex13618c80

325160064 has 96 divisors (see below), whose sum is σ = 968046300. Its totient is φ = 104638464.

The previous prime is 325160063. The next prime is 325160089. The reversal of 325160064 is 460061523.

325160064 is a `hidden beast` number, since 3 + 2 + 51 + 600 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 309478464 + 15681600 = 17592^2 + 3960^2 .

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

It is not an unprimeable number, because it can be changed into a prime (325160063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28542 + ... + 38274.

Almost surely, 2325160064 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 325160064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484023150).

325160064 is an abundant number, since it is smaller than the sum of its proper divisors (642886236).

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

325160064 is a wasteful number, since it uses less digits than its factorization.

325160064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9782 (or 9767 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 325160064 is about 18032.1952074616. The cubic root of 325160064 is about 687.6472863062.

The spelling of 325160064 in words is "three hundred twenty-five million, one hundred sixty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 261 288 348 384 464 522 576 696 928 1044 1152 1392 1856 2088 2784 3712 4176 5568 8352 9733 11136 16704 19466 29199 33408 38932 58398 77864 87597 116796 155728 175194 233592 282257 311456 350388 467184 564514 622912 700776 846771 934368 1129028 1245824 1401552 1693542 1868736 2258056 2540313 2803104 3387084 3737472 4516112 5080626 5606208 6774168 9032224 10161252 11212416 13548336 18064448 20322504 27096672 36128896 40645008 54193344 81290016 108386688 162580032 325160064