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252634320 = 24325350881
BaseRepresentation
bin11110000111011…
…10010011010000
3122121101011010200
433003232103100
51004133244240
641022455200
76155233131
oct1703562320
9577334120
10252634320
1111a6729a4
1270734500
1340455783
14257a3c88
15172a4930
hexf0ee4d0

252634320 has 60 divisors (see below), whose sum is σ = 848432676. Its totient is φ = 67368960.

The previous prime is 252634303. The next prime is 252634351. The reversal of 252634320 is 23436252.

252634320 is a `hidden beast` number, since 2 + 5 + 2 + 634 + 3 + 20 = 666.

252634320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 187799616 + 64834704 = 13704^2 + 8052^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 174721 + ... + 176160.

Almost surely, 2252634320 is an apocalyptic number.

252634320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252634320 is an abundant number, since it is smaller than the sum of its proper divisors (595798356).

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

252634320 is a wasteful number, since it uses less digits than its factorization.

252634320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350900 (or 350891 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 252634320 is about 15894.4745116031. The cubic root of 252634320 is about 632.1654883623.

The spelling of 252634320 in words is "two hundred fifty-two million, six hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 350881 701762 1052643 1403524 1754405 2105286 2807048 3157929 3508810 4210572 5263215 5614096 6315858 7017620 8421144 10526430 12631716 14035240 15789645 16842288 21052860 25263432 28070480 31579290 42105720 50526864 63158580 84211440 126317160 252634320