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64690304 = 2771731137
BaseRepresentation
bin1111011011000…
…1100010000000
311111201121102012
43312301202000
5113030042204
610230312052
71413600320
oct366614200
9144647365
1064690304
1133574868
12197b8628
131052cab3
14883d280
155a2c76e
hex3db1880

64690304 has 128 divisors (see below), whose sum is σ = 162155520. Its totient is φ = 25067520.

The previous prime is 64690267. The next prime is 64690331. The reversal of 64690304 is 40309646.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×646903042 = 8369670863224832, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 15 ways as a sum of consecutive naturals, for example, 472124 + ... + 472260.

It is an arithmetic number, because the mean of its divisors is an integer number (1266840).

Almost surely, 264690304 is an apocalyptic number.

64690304 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 64690304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81077760).

64690304 is an abundant number, since it is smaller than the sum of its proper divisors (97465216).

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

64690304 is a wasteful number, since it uses less digits than its factorization.

64690304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 64690304 is about 8043.0282854159. The cubic root of 64690304 is about 401.4329935268.

The spelling of 64690304 in words is "sixty-four million, six hundred ninety thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 31 32 34 56 62 64 68 112 119 124 128 136 137 217 224 238 248 272 274 434 448 476 496 527 544 548 868 896 952 959 992 1054 1088 1096 1736 1904 1918 1984 2108 2176 2192 2329 3472 3689 3808 3836 3968 4216 4247 4384 4658 6944 7378 7616 7672 8432 8494 8768 9316 13888 14756 15232 15344 16303 16864 16988 17536 18632 27776 29512 29729 30688 32606 33728 33976 37264 59024 59458 61376 65212 67456 67952 72199 74528 118048 118916 122752 130424 135904 144398 149056 236096 237832 260848 271808 288796 298112 472192 475664 505393 521696 543616 577592 951328 1010786 1043392 1155184 1902656 2021572 2086784 2310368 3805312 4043144 4620736 8086288 9241472 16172576 32345152 64690304