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631214304 = 25372773391
BaseRepresentation
bin100101100111111…
…001000011100000
31121222202000020120
4211213321003200
52243042324204
6142345040240
721433142640
oct4547710340
91558660216
10631214304
112a4338716
12157486080
13a0a074b6
145db90520
153a6366d9
hex259f90e0

631214304 has 96 divisors (see below), whose sum is σ = 1901039616. Its totient is φ = 179642880.

The previous prime is 631214299. The next prime is 631214321. The reversal of 631214304 is 403412136.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184449 + ... + 187839.

It is an arithmetic number, because the mean of its divisors is an integer number (19802496).

Almost surely, 2631214304 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 631214304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950519808).

631214304 is an abundant number, since it is smaller than the sum of its proper divisors (1269825312).

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

631214304 is a wasteful number, since it uses less digits than its factorization.

631214304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3688 (or 3680 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 631214304 is about 25123.9786658085. The cubic root of 631214304 is about 857.8123159770.

The spelling of 631214304 in words is "six hundred thirty-one million, two hundred fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 277 336 554 672 831 1108 1662 1939 2216 3324 3391 3878 4432 5817 6648 6782 7756 8864 10173 11634 13296 13564 15512 20346 23268 23737 26592 27128 31024 40692 46536 47474 54256 62048 71211 81384 93072 94948 108512 142422 162768 186144 189896 284844 325536 379792 569688 759584 939307 1139376 1878614 2278752 2817921 3757228 5635842 6575149 7514456 11271684 13150298 15028912 19725447 22543368 26300596 30057824 39450894 45086736 52601192 78901788 90173472 105202384 157803576 210404768 315607152 631214304