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664169328 = 24331790437
BaseRepresentation
bin100111100101100…
…110101101110000
31201021202022001000
4213211212231300
52330011404303
6145523242000
722313226504
oct4745465560
91637668030
10664169328
113109a7279
12166519300
13a77a5504
14642cc304
153d495da3
hex27966b70

664169328 has 80 divisors (see below), whose sum is σ = 2018576160. Its totient is φ = 208364544.

The previous prime is 664169323. The next prime is 664169347. The reversal of 664169328 is 823961466.

It is a super-2 number, since 2×6641693282 = 882241792511943168, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664169323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37875 + ... + 52562.

It is an arithmetic number, because the mean of its divisors is an integer number (25232202).

Almost surely, 2664169328 is an apocalyptic number.

664169328 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

664169328 is an abundant number, since it is smaller than the sum of its proper divisors (1354406832).

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

664169328 is a wasteful number, since it uses less digits than its factorization.

664169328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90471 (or 90459 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 664169328 is about 25771.4828444155. The cubic root of 664169328 is about 872.4882866932.

The spelling of 664169328 in words is "six hundred sixty-four million, one hundred sixty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 3672 7344 90437 180874 271311 361748 542622 723496 813933 1085244 1446992 1537429 1627866 2170488 2441799 3074858 3255732 4340976 4612287 4883598 6149716 6511464 9224574 9767196 12299432 13022928 13836861 18449148 19534392 24598864 27673722 36898296 39068784 41510583 55347444 73796592 83021166 110694888 166042332 221389776 332084664 664169328