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332104896 = 26323715583
BaseRepresentation
bin10011110010111…
…000010011000000
3212010220200021100
4103302320103000
51140004324041
652542054400
711141562564
oct2362702300
9763820240
10332104896
11160512362
129327a400
1353a5bb96
143216d6a4
151e2516b6
hex13cb84c0

332104896 has 84 divisors (see below), whose sum is σ = 977708992. Its totient is φ = 107702784.

The previous prime is 332104849. The next prime is 332104907. The reversal of 332104896 is 698401233.

It is a super-2 number, since 2×3321048962 = 220587323894341632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 332104896.

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, 13521 + ... + 29103.

Almost surely, 2332104896 is an apocalyptic number.

332104896 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 332104896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488854496).

332104896 is an abundant number, since it is smaller than the sum of its proper divisors (645604096).

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

332104896 is a wasteful number, since it uses less digits than its factorization.

332104896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15638 (or 15625 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 332104896 is about 18223.7453889150. The cubic root of 332104896 is about 692.5084750056.

The spelling of 332104896 in words is "three hundred thirty-two million, one hundred four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 144 148 192 222 288 296 333 444 576 592 666 888 1184 1332 1776 2368 2664 3552 5328 7104 10656 15583 21312 31166 46749 62332 93498 124664 140247 186996 249328 280494 373992 498656 560988 576571 747984 997312 1121976 1153142 1495968 1729713 2243952 2306284 2991936 3459426 4487904 4612568 5189139 6918852 8975808 9225136 10378278 13837704 18450272 20756556 27675408 36900544 41513112 55350816 83026224 110701632 166052448 332104896