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412803328 = 2872231033
BaseRepresentation
bin11000100110101…
…110000100000000
31001202202120201011
4120212232010000
51321134201303
6104543450304
713141525150
oct3046560400
91052676634
10412803328
111a2020283
12b62b6994
13676a5132
143cb78760
152639216d
hex189ae100

412803328 has 72 divisors (see below), whose sum is σ = 946846208. Its totient is φ = 175951872.

The previous prime is 412803319. The next prime is 412803337. The reversal of 412803328 is 823308214.

It is an interprime number because it is at equal distance from previous prime (412803319) and next prime (412803337).

It is a self number, because there is not a number n which added to its sum of digits gives 412803328.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 399100 + ... + 400132.

Almost surely, 2412803328 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 412803328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473423104).

412803328 is an abundant number, since it is smaller than the sum of its proper divisors (534042880).

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

412803328 is a wasteful number, since it uses less digits than its factorization.

412803328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 412803328 is about 20317.5620584754. The cubic root of 412803328 is about 744.5851949672.

The spelling of 412803328 in words is "four hundred twelve million, eight hundred three thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 223 224 256 446 448 892 896 1033 1561 1784 1792 2066 3122 3568 4132 6244 7136 7231 8264 12488 14272 14462 16528 24976 28544 28924 33056 49952 57088 57848 66112 99904 115696 132224 199808 230359 231392 264448 399616 460718 462784 921436 925568 1612513 1842872 1851136 3225026 3685744 6450052 7371488 12900104 14742976 25800208 29485952 51600416 58971904 103200832 206401664 412803328