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303630625 = 54172412
BaseRepresentation
bin10010000110010…
…000100100100001
3210011100000220201
4102012100210201
51110212140000
650043505201
710344550324
oct2206204441
9704300821
10303630625
11146434201
1285828201
134ab9c4bc
142c47a7bb
151b9c996a
hex12190921

303630625 has 45 divisors (see below), whose sum is σ = 413118541. Its totient is φ = 223040000.

The previous prime is 303630601. The next prime is 303630631. The reversal of 303630625 is 526036303.

The square root of 303630625 is 17425.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 220017889 + 83612736 = 14833^2 + 9144^2 .

It is not a de Polignac number, because 303630625 - 29 = 303630113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 303630593 and 303630602.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7405605 + ... + 7405645.

Almost surely, 2303630625 is an apocalyptic number.

303630625 is the 17425-th square number.

303630625 is the 8713-rd centered octagonal number.

It is an amenable number.

303630625 is a deficient number, since it is larger than the sum of its proper divisors (109487916).

303630625 is an frugal number, since it uses more digits than its factorization.

303630625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 28.

The cubic root of 303630625 is about 672.1226399196.

Adding to 303630625 its reverse (526036303), we get a palindrome (829666928).

The spelling of 303630625 in words is "three hundred three million, six hundred thirty thousand, six hundred twenty-five".

Divisors: 1 5 17 25 41 85 125 205 289 425 625 697 1025 1445 1681 2125 3485 5125 7225 8405 10625 11849 17425 25625 28577 36125 42025 59245 87125 142885 180625 210125 296225 435625 485809 714425 1050625 1481125 2429045 3572125 7405625 12145225 17860625 60726125 303630625