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253919304 = 23323526657
BaseRepresentation
bin11110010001010…
…00000001001000
3122200210102210200
433020220001020
51010000404204
641110212200
76202164342
oct1710500110
9580712720
10253919304
11120370371
1271054060
13407b5612
1425a1a292
151745a539
hexf228048

253919304 has 24 divisors (see below), whose sum is σ = 687698310. Its totient is φ = 84639744.

The previous prime is 253919297. The next prime is 253919317. The reversal of 253919304 is 403919352.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 244296900 + 9622404 = 15630^2 + 3102^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1763257 + ... + 1763400.

Almost surely, 2253919304 is an apocalyptic number.

253919304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

253919304 is an abundant number, since it is smaller than the sum of its proper divisors (433779006).

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

253919304 is a wasteful number, since it uses less digits than its factorization.

253919304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3526669 (or 3526662 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 253919304 is about 15934.8455907172. The cubic root of 253919304 is about 633.2354791260.

The spelling of 253919304 in words is "two hundred fifty-three million, nine hundred nineteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3526657 7053314 10579971 14106628 21159942 28213256 31739913 42319884 63479826 84639768 126959652 253919304