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412031312 = 2471117103191
BaseRepresentation
bin11000100011110…
…001100101010000
31001201022100200222
4120203301211100
51320440000222
6104515132212
713132131320
oct3043614520
91051270628
10412031312
111a1643250
12b5ba4068
1367494914
143ca17280
152628d542
hex188f1950

412031312 has 160 divisors (see below), whose sum is σ = 1069645824. Its totient is φ = 148838400.

The previous prime is 412031311. The next prime is 412031351. The reversal of 412031312 is 213130214.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412031311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2157137 + ... + 2157327.

Almost surely, 2412031312 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 412031312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534822912).

412031312 is an abundant number, since it is smaller than the sum of its proper divisors (657614512).

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

412031312 is a wasteful number, since it uses less digits than its factorization.

412031312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 412031312 is about 20298.5544312889. The cubic root of 412031312 is about 744.1207361773.

Adding to 412031312 its reverse (213130214), we get a palindrome (625161526).

The spelling of 412031312 in words is "four hundred twelve million, thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 34 44 56 68 77 88 103 112 119 136 154 176 187 191 206 238 272 308 374 382 412 476 616 721 748 764 824 952 1133 1232 1309 1337 1442 1496 1528 1648 1751 1904 2101 2266 2618 2674 2884 2992 3056 3247 3502 4202 4532 5236 5348 5768 6494 7004 7931 8404 9064 10472 10696 11536 12257 12988 14008 14707 15862 16808 18128 19261 19673 20944 21392 22729 24514 25976 28016 29414 31724 33616 35717 38522 39346 45458 49028 51952 58828 63448 71434 77044 78692 90916 98056 117656 126896 134827 137711 142868 154088 157384 181832 196112 216403 235312 250019 269654 275422 285736 308176 314768 334441 363664 432806 500038 539308 550844 571472 668882 865612 1000076 1078616 1101688 1337764 1514821 1731224 2000152 2157232 2203376 2341087 2675528 3029642 3462448 3678851 4000304 4682174 5351056 6059284 7357702 9364348 12118568 14715404 18728696 24237136 25751957 29430808 37457392 51503914 58861616 103007828 206015656 412031312