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412028316 = 223373117581
BaseRepresentation
bin11000100011110…
…000110110011100
31001201022012121000
4120203300312130
51320434401231
6104515110300
713132116510
oct3043606634
91051265530
10412028316
111a1640a77
12b5ba2390
136749344b
143ca16140
152628c6e6
hex188f0d9c

412028316 has 96 divisors (see below), whose sum is σ = 1260277760. Its totient is φ = 113918400.

The previous prime is 412028257. The next prime is 412028377. The reversal of 412028316 is 613820214.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 412028316.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14646 + ... + 32226.

Almost surely, 2412028316 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 412028316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630138880).

412028316 is an abundant number, since it is smaller than the sum of its proper divisors (848249444).

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

412028316 is a wasteful number, since it uses less digits than its factorization.

412028316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17632 (or 17624 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 412028316 is about 20298.4806327961. The cubic root of 412028316 is about 744.1189325998.

The spelling of 412028316 in words is "four hundred twelve million, twenty-eight thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 84 93 108 124 126 186 189 217 252 279 372 378 434 558 651 756 837 868 1116 1302 1674 1953 2604 3348 3906 5859 7812 11718 17581 23436 35162 52743 70324 105486 123067 158229 210972 246134 316458 369201 474687 492268 545011 632916 738402 949374 1090022 1107603 1476804 1635033 1898748 2180044 2215206 3270066 3322809 3815077 4430412 4905099 6540132 6645618 7630154 9810198 11445231 13291236 14715297 15260308 19620396 22890462 29430594 34335693 45780924 58861188 68671386 103007079 137342772 206014158 412028316