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632383104 = 2736732447
BaseRepresentation
bin100101101100010…
…110011010000000
31122001221101112110
4211230112122000
52243342224404
6142430055320
721446111343
oct4554263200
91561841473
10632383104
112a4a66871
1215794a540
13a10264b2
145ddb645a
153a7b7b89
hex25b16680

632383104 has 64 divisors (see below), whose sum is σ = 1682951040. Its totient is φ = 210395136.

The previous prime is 632383097. The next prime is 632383111. The reversal of 632383104 is 401383236.

It is an interprime number because it is at equal distance from previous prime (632383097) and next prime (632383111).

It is a tau number, because it is divible by the number of its divisors (64).

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, 257209 + ... + 259655.

It is an arithmetic number, because the mean of its divisors is an integer number (26296110).

Almost surely, 2632383104 is an apocalyptic number.

632383104 is a gapful number since it is divisible by the number (64) 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 632383104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841475520).

632383104 is an abundant number, since it is smaller than the sum of its proper divisors (1050567936).

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

632383104 is a wasteful number, since it uses less digits than its factorization.

632383104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3137 (or 3125 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 632383104 is about 25147.2285550515. The cubic root of 632383104 is about 858.3414510266.

The spelling of 632383104 in words is "six hundred thirty-two million, three hundred eighty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 673 1346 2019 2447 2692 4038 4894 5384 7341 8076 9788 10768 14682 16152 19576 21536 29364 32304 39152 43072 58728 64608 78304 86144 117456 129216 156608 234912 258432 313216 469824 939648 1646831 3293662 4940493 6587324 9880986 13174648 19761972 26349296 39523944 52698592 79047888 105397184 158095776 210794368 316191552 632383104