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305379025 = 5272892801
BaseRepresentation
bin10010001100111…
…011011011010001
3210021121212021021
4102030323123101
51111134112100
650145155441
710365451600
oct2214733321
9707555237
10305379025
11147418866
128632bb81
134b362263
142c7b3a37
151bc22a1a
hex1233b6d1

305379025 has 36 divisors (see below), whose sum is σ = 445602060. Its totient is φ = 206976000.

The previous prime is 305379017. The next prime is 305379049. The reversal of 305379025 is 520973503.

It can be written as a sum of positive squares in 6 ways, for example, as 27123264 + 278255761 = 5208^2 + 16681^2 .

It is not a de Polignac number, because 305379025 - 23 = 305379017 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 107625 + ... + 110425.

It is an arithmetic number, because the mean of its divisors is an integer number (12377835).

Almost surely, 2305379025 is an apocalyptic number.

305379025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

305379025 is a deficient number, since it is larger than the sum of its proper divisors (140223035).

305379025 is a wasteful number, since it uses less digits than its factorization.

305379025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914 (or 2902 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 34.

The square root of 305379025 is about 17475.0972815604. The cubic root of 305379025 is about 673.4102689323.

The spelling of 305379025 in words is "three hundred five million, three hundred seventy-nine thousand, twenty-five".

Divisors: 1 5 7 25 35 49 89 175 245 445 623 1225 2225 2801 3115 4361 14005 15575 19607 21805 70025 98035 109025 137249 249289 490175 686245 1246445 1745023 3431225 6232225 8725115 12215161 43625575 61075805 305379025