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328715232 = 25329711663
BaseRepresentation
bin10011100101111…
…100101111100000
3211220112110112020
4103211330233200
51133122341412
652341301440
711101014306
oct2345745740
9756473466
10328715232
1115960768a
1292104880
1353143071
143192a276
151dcd218c
hex1397cbe0

328715232 has 96 divisors (see below), whose sum is σ = 905748480. Its totient is φ = 104240640.

The previous prime is 328715207. The next prime is 328715237. The reversal of 328715232 is 232517823.

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

It is a junction number, because it is equal to n+sod(n) for n = 328715193 and 328715202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328715237) 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, 196833 + ... + 198495.

It is an arithmetic number, because the mean of its divisors is an integer number (9434880).

Almost surely, 2328715232 is an apocalyptic number.

328715232 is a gapful number since it is divisible by the number (32) 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 328715232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452874240).

328715232 is an abundant number, since it is smaller than the sum of its proper divisors (577033248).

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

328715232 is a wasteful number, since it uses less digits than its factorization.

328715232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1768 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 328715232 is about 18130.5055638281. The cubic root of 328715232 is about 690.1443596295.

The spelling of 328715232 in words is "three hundred twenty-eight million, seven hundred fifteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 71 87 96 116 142 174 213 232 284 348 426 464 568 696 852 928 1136 1392 1663 1704 2059 2272 2784 3326 3408 4118 4989 6177 6652 6816 8236 9978 12354 13304 16472 19956 24708 26608 32944 39912 48227 49416 53216 65888 79824 96454 98832 118073 144681 159648 192908 197664 236146 289362 354219 385816 472292 578724 708438 771632 944584 1157448 1416876 1543264 1889168 2314896 2833752 3424117 3778336 4629792 5667504 6848234 10272351 11335008 13696468 20544702 27392936 41089404 54785872 82178808 109571744 164357616 328715232