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336164064 = 2535959351
BaseRepresentation
bin10100000010010…
…111010011100000
3212102112220101220
4110002113103200
51142024222224
653205055040
711221230105
oct2402272340
9772486356
10336164064
11162835045
12946b7480
1354850662
1432908aac
151e7a4279
hex140974e0

336164064 has 48 divisors (see below), whose sum is σ = 897402240. Its totient is φ = 110153600.

The previous prime is 336164033. The next prime is 336164077. The reversal of 336164064 is 460461633.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3361640642 = 226012555849992192, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 24012 + ... + 35339.

It is an arithmetic number, because the mean of its divisors is an integer number (18695880).

Almost surely, 2336164064 is an apocalyptic number.

It is an amenable number.

336164064 is an abundant number, since it is smaller than the sum of its proper divisors (561238176).

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

336164064 is a wasteful number, since it uses less digits than its factorization.

336164064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59423 (or 59415 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 336164064 is about 18334.7774461541. Note that the first 3 decimals coincide. The cubic root of 336164064 is about 695.3184635088.

The spelling of 336164064 in words is "three hundred thirty-six million, one hundred sixty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 944 1416 1888 2832 5664 59351 118702 178053 237404 356106 474808 712212 949616 1424424 1899232 2848848 3501709 5697696 7003418 10505127 14006836 21010254 28013672 42020508 56027344 84041016 112054688 168082032 336164064