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63234304 = 2872712
BaseRepresentation
bin1111000100111…
…0000100000000
311101222122011021
43301032010000
5112141444204
610135155224
71365324400
oct361160400
9141878137
1063234304
113276a961
1219215b14
1310140163
148580800
155841154
hex3c4e100

63234304 has 81 divisors (see below), whose sum is σ = 148926351. Its totient is φ = 26718720.

The previous prime is 63234293. The next prime is 63234307. The reversal of 63234304 is 40343236.

The square root of 63234304 is 7952.

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

It is not an unprimeable number, because it can be changed into a prime (63234307) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 890589 + ... + 890659.

Almost surely, 263234304 is an apocalyptic number.

63234304 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

63234304 is the 7952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63234304

63234304 is an abundant number, since it is smaller than the sum of its proper divisors (85692047).

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

63234304 is an frugal number, since it uses more digits than its factorization.

63234304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

The cubic root of 63234304 is about 398.3983957183.

Multiplying 63234304 by its sum of digits (25), we get a square (1580857600 = 397602).

Multiplying 63234304 by its product of nonzero digits (5184), we get a square (327806631936 = 5725442).

The spelling of 63234304 in words is "sixty-three million, two hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 71 98 112 128 142 196 224 256 284 392 448 497 568 784 896 994 1136 1568 1792 1988 2272 3136 3479 3976 4544 5041 6272 6958 7952 9088 10082 12544 13916 15904 18176 20164 27832 31808 35287 40328 55664 63616 70574 80656 111328 127232 141148 161312 222656 247009 282296 322624 445312 494018 564592 645248 890624 988036 1129184 1290496 1976072 2258368 3952144 4516736 7904288 9033472 15808576 31617152 63234304