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63704064 = 210389233
BaseRepresentation
bin1111001100000…
…0110000000000
311102212111112210
43303000300000
5112302012224
610153222120
71402322064
oct363006000
9142774483
1063704064
1132a60896
1219401940
1310275c18
148663aa4
1558d5429
hex3cc0c00

63704064 has 88 divisors (see below), whose sum is σ = 172439280. Its totient is φ = 20905984.

The previous prime is 63704057. The next prime is 63704143. The reversal of 63704064 is 46040736.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 273292 + ... + 273524.

Almost surely, 263704064 is an apocalyptic number.

63704064 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 63704064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86219640).

63704064 is an abundant number, since it is smaller than the sum of its proper divisors (108735216).

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

63704064 is a wasteful number, since it uses less digits than its factorization.

63704064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 63704064 is about 7981.4825690469. The cubic root of 63704064 is about 399.3825139346.

The spelling of 63704064 in words is "sixty-three million, seven hundred four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 128 178 192 233 256 267 356 384 466 512 534 699 712 768 932 1024 1068 1398 1424 1536 1864 2136 2796 2848 3072 3728 4272 5592 5696 7456 8544 11184 11392 14912 17088 20737 22368 22784 29824 34176 41474 44736 45568 59648 62211 68352 82948 89472 91136 119296 124422 136704 165896 178944 238592 248844 273408 331792 357888 497688 663584 715776 995376 1327168 1990752 2654336 3981504 5308672 7963008 10617344 15926016 21234688 31852032 63704064