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63344424 = 233111318457
BaseRepresentation
bin1111000110100…
…0111100101000
311102012020012210
43301220330220
5112204010144
610141405120
71366263423
oct361507450
9142166183
1063344424
1132835670
12192697a0
131017b310
1485ac9ba
155863ab9
hex3c68f28

63344424 has 64 divisors (see below), whose sum is σ = 186056640. Its totient is φ = 17717760.

The previous prime is 63344417. The next prime is 63344429. The reversal of 63344424 is 42444336.

63344424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 63344391 and 63344400.

It is not an unprimeable number, because it can be changed into a prime (63344429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5797 + ... + 12660.

It is an arithmetic number, because the mean of its divisors is an integer number (2907135).

Almost surely, 263344424 is an apocalyptic number.

It is an amenable number.

63344424 is an abundant number, since it is smaller than the sum of its proper divisors (122712216).

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

63344424 is a wasteful number, since it uses less digits than its factorization.

63344424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18490 (or 18486 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

The square root of 63344424 is about 7958.9210324013. The cubic root of 63344424 is about 398.6295265354.

The spelling of 63344424 in words is "sixty-three million, three hundred forty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 3432 18457 36914 55371 73828 110742 147656 203027 221484 239941 406054 442968 479882 609081 719823 812108 959764 1218162 1439646 1624216 1919528 2436324 2639351 2879292 4872648 5278702 5758584 7918053 10557404 15836106 21114808 31672212 63344424