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534916368 = 24327292631
BaseRepresentation
bin11111111000100…
…010110100010000
31101021112120022100
4133320202310100
52043414310433
6125025040400
716153466640
oct3770426420
91337476270
10534916368
11254a45648
1212b186100
1386a8ba7c
1451084520
1531e63b13
hex1fe22d10

534916368 has 180 divisors, whose sum is σ = 1774721728. Its totient is φ = 147329280.

The previous prime is 534916337. The next prime is 534916387. The reversal of 534916368 is 863619435.

534916368 is a `hidden beast` number, since 5 + 3 + 4 + 9 + 1 + 636 + 8 = 666.

It is a super-2 number, since 2×5349163682 = 572271041508622848, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 847413 + ... + 848043.

Almost surely, 2534916368 is an apocalyptic number.

534916368 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534916368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887360864).

534916368 is an abundant number, since it is smaller than the sum of its proper divisors (1239805360).

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

534916368 is a wasteful number, since it uses less digits than its factorization.

534916368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 672 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 534916368 is about 23128.2590784521. The cubic root of 534916368 is about 811.7618349133.

The spelling of 534916368 in words is "five hundred thirty-four million, nine hundred sixteen thousand, three hundred sixty-eight".