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2534032944 = 24335865817
BaseRepresentation
bin1001011100001010…
…0100011000110000
320112121020012201000
42113002210120300
520142203023234
61055241042000
7116536632102
oct22702443060
96477205630
102534032944
111090439503
125a8786300
13314cb6ca1
141a078d572
15ec6ee899
hex970a4630

2534032944 has 40 divisors (see below), whose sum is σ = 7273614320. Its totient is φ = 844677504.

The previous prime is 2534032901. The next prime is 2534032987. The reversal of 2534032944 is 4492304352.

2534032944 is a `hidden beast` number, since 2 + 534 + 0 + 32 + 94 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2534032901) and next prime (2534032987).

It is a super-2 number, since 2×25340329442 = 12842645922554614272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2534032899 and 2534032908.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2932477 + ... + 2933340.

It is an arithmetic number, because the mean of its divisors is an integer number (181840358).

Almost surely, 22534032944 is an apocalyptic number.

2534032944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2534032944 is an abundant number, since it is smaller than the sum of its proper divisors (4739581376).

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

2534032944 is a wasteful number, since it uses less digits than its factorization.

2534032944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5865834 (or 5865822 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 2534032944 is about 50339.1790159514. The cubic root of 2534032944 is about 1363.3397130411.

The spelling of 2534032944 in words is "two billion, five hundred thirty-four million, thirty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 5865817 11731634 17597451 23463268 35194902 46926536 52792353 70389804 93853072 105584706 140779608 158377059 211169412 281559216 316754118 422338824 633508236 844677648 1267016472 2534032944