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412312428 = 2232118271259
BaseRepresentation
bin11000100100110…
…110001101101100
31001201211122022200
4120210312031230
51321022444203
6104525141500
713134412023
oct3044661554
91051748280
10412312428
111a1815480
12b60ba890
1367562868
143ca8b8ba
15262e69a3
hex1893636c

412312428 has 72 divisors (see below), whose sum is σ = 1139261760. Its totient is φ = 124692960.

The previous prime is 412312427. The next prime is 412312451. The reversal of 412312428 is 824213214.

412312428 is a `hidden beast` number, since 4 + 1 + 231 + 2 + 428 = 666.

It is not an unprimeable number, because it can be changed into a prime (412312427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326863 + ... + 328121.

It is an arithmetic number, because the mean of its divisors is an integer number (15823080).

Almost surely, 2412312428 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 412312428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569630880).

412312428 is an abundant number, since it is smaller than the sum of its proper divisors (726949332).

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

412312428 is a wasteful number, since it uses less digits than its factorization.

412312428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2107 (or 2102 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 412312428 is about 20305.4777831008. The cubic root of 412312428 is about 744.2899277602.

The spelling of 412312428 in words is "four hundred twelve million, three hundred twelve thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 827 1259 1654 2481 2518 3308 3777 4962 5036 7443 7554 9097 9924 11331 13849 14886 15108 18194 22662 27291 27698 29772 36388 41547 45324 54582 55396 81873 83094 109164 124641 163746 166188 249282 327492 498564 1041193 2082386 3123579 4164772 6247158 9370737 11453123 12494316 18741474 22906246 34359369 37482948 45812492 68718738 103078107 137437476 206156214 412312428