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63730944 = 2832139199
BaseRepresentation
bin1111001100011…
…1010100000000
311102220212102100
43303013110000
5112303342234
610153550400
71402463334
oct363072400
9142825370
1063730944
1132a7a002
1219415400
1310285224
14866d7c4
1558dd399
hex3cc7500

63730944 has 108 divisors (see below), whose sum is σ = 186004000. Its totient is φ = 20984832.

The previous prime is 63730939. The next prime is 63730957. The reversal of 63730944 is 44903736.

It is a super-2 number, since 2×637309442 = 8123266446262272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 63730899 and 63730908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 320157 + ... + 320355.

Almost surely, 263730944 is an apocalyptic number.

63730944 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63730944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93002000).

63730944 is an abundant number, since it is smaller than the sum of its proper divisors (122273056).

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

63730944 is a wasteful number, since it uses less digits than its factorization.

63730944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 63730944 is about 7983.1662891362. The cubic root of 63730944 is about 399.4386793329.

The spelling of 63730944 in words is "sixty-three million, seven hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 139 144 192 199 256 278 288 384 398 417 556 576 597 768 796 834 1112 1152 1194 1251 1592 1668 1791 2224 2304 2388 2502 3184 3336 3582 4448 4776 5004 6368 6672 7164 8896 9552 10008 12736 13344 14328 17792 19104 20016 25472 26688 27661 28656 35584 38208 40032 50944 53376 55322 57312 76416 80064 82983 106752 110644 114624 152832 160128 165966 221288 229248 248949 320256 331932 442576 458496 497898 663864 885152 995796 1327728 1770304 1991592 2655456 3540608 3983184 5310912 7081216 7966368 10621824 15932736 21243648 31865472 63730944