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412114368 = 2632393323
BaseRepresentation
bin11000100100000…
…101110111000000
31001201110120122010
4120210011313000
51321000124433
6104521012520
713132625421
oct3044056700
91051416563
10412114368
111a169a696
12b6024140
13674c3673
143ca39648
15262a7e63
hex18905dc0

412114368 has 56 divisors (see below), whose sum is σ = 1137806208. Its totient is φ = 131397376.

The previous prime is 412114363. The next prime is 412114369. The reversal of 412114368 is 863411214.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412114361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42246 + ... + 51077.

It is an arithmetic number, because the mean of its divisors is an integer number (20317968).

Almost surely, 2412114368 is an apocalyptic number.

412114368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

412114368 is an abundant number, since it is smaller than the sum of its proper divisors (725691840).

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

412114368 is a wasteful number, since it uses less digits than its factorization.

412114368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93361 (or 93351 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 412114368 is about 20300.6001881718. The cubic root of 412114368 is about 744.1707320051.

The spelling of 412114368 in words is "four hundred twelve million, one hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1472 2208 4416 93323 186646 279969 373292 559938 746584 1119876 1493168 2146429 2239752 2986336 4292858 4479504 5972672 6439287 8585716 8959008 12878574 17171432 17918016 25757148 34342864 51514296 68685728 103028592 137371456 206057184 412114368