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324968256 = 26322412341
BaseRepresentation
bin10011010111101…
…001111101000000
3211122111002122100
4103113221331000
51131142441011
652125110400
711024120214
oct2327517500
9748432570
10324968256
11157488508
12909b8400
1352430712
1431232944
151d7e1d56
hex135e9f40

324968256 has 84 divisors (see below), whose sum is σ = 935727364. Its totient is φ = 107827200.

The previous prime is 324968233. The next prime is 324968269. The reversal of 324968256 is 652869423.

324968256 is a `hidden beast` number, since 32 + 496 + 82 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 228614400 + 96353856 = 15120^2 + 9816^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137646 + ... + 139986.

Almost surely, 2324968256 is an apocalyptic number.

324968256 is a gapful number since it is divisible by the number (36) 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 324968256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467863682).

324968256 is an abundant number, since it is smaller than the sum of its proper divisors (610759108).

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

324968256 is a wasteful number, since it uses less digits than its factorization.

324968256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2600 (or 2587 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 324968256 is about 18026.8759356689. The cubic root of 324968256 is about 687.5120480974.

It can be divided in two parts, 324 and 968256, that multiplied together give a square (313714944 = 177122).

The spelling of 324968256 in words is "three hundred twenty-four million, nine hundred sixty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 241 288 482 576 723 964 1446 1928 2169 2341 2892 3856 4338 4682 5784 7023 7712 8676 9364 11568 14046 15424 17352 18728 21069 23136 28092 34704 37456 42138 46272 56184 69408 74912 84276 112368 138816 149824 168552 224736 337104 449472 564181 674208 1128362 1348416 1692543 2256724 3385086 4513448 5077629 6770172 9026896 10155258 13540344 18053792 20310516 27080688 36107584 40621032 54161376 81242064 108322752 162484128 324968256