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325838976 = 2732379467
BaseRepresentation
bin10011011010111…
…110100010000000
3211201010100001020
4103122332202000
51131403321401
652155505440
711034404601
oct2332764200
9751110036
10325838976
11157a22711
1291158280
1352676b38
14313bbda8
151d914d36
hex136be880

325838976 has 128 divisors (see below), whose sum is σ = 916531200. Its totient is φ = 102355968.

The previous prime is 325838963. The next prime is 325839001. The reversal of 325838976 is 679838523.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×3258389763 (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 697495 + ... + 697961.

It is an arithmetic number, because the mean of its divisors is an integer number (7160400).

Almost surely, 2325838976 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 325838976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458265600).

325838976 is an abundant number, since it is smaller than the sum of its proper divisors (590692224).

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

325838976 is a wasteful number, since it uses less digits than its factorization.

325838976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 574 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 51.

The square root of 325838976 is about 18051.0103872332. The cubic root of 325838976 is about 688.1255404586.

The spelling of 325838976 in words is "three hundred twenty-five million, eight hundred thirty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 79 92 96 128 138 158 184 192 237 276 316 368 384 467 474 552 632 736 934 948 1104 1264 1401 1472 1817 1868 1896 2208 2528 2802 2944 3634 3736 3792 4416 5056 5451 5604 7268 7472 7584 8832 10112 10741 10902 11208 14536 14944 15168 21482 21804 22416 29072 29888 30336 32223 36893 42964 43608 44832 58144 59776 64446 73786 85928 87216 89664 110679 116288 128892 147572 171856 174432 179328 221358 232576 257784 295144 343712 348864 442716 515568 590288 687424 697728 848539 885432 1031136 1180576 1374848 1697078 1770864 2062272 2361152 2545617 3394156 3541728 4124544 4722304 5091234 6788312 7083456 10182468 13576624 14166912 20364936 27153248 40729872 54306496 81459744 108612992 162919488 325838976