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339380064 = 25333112671
BaseRepresentation
bin10100001110101…
…000011101100000
3212122121021221000
4110032220131200
51143340130224
653402032000
711260453152
oct2416503540
9778537830
10339380064
111646312a1
12957a8600
135540840a
1433104ad2
151ebdc0c9
hex143a8760

339380064 has 96 divisors (see below), whose sum is σ = 1021870080. Its totient is φ = 109468800.

The previous prime is 339380053. The next prime is 339380077. The reversal of 339380064 is 460083933.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20449 + ... + 33119.

It is an arithmetic number, because the mean of its divisors is an integer number (10644480).

Almost surely, 2339380064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 339380064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510935040).

339380064 is an abundant number, since it is smaller than the sum of its proper divisors (682490016).

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

339380064 is a wasteful number, since it uses less digits than its factorization.

339380064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12721 (or 12707 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 339380064 is about 18422.2708697924. The cubic root of 339380064 is about 697.5287443351.

The spelling of 339380064 in words is "three hundred thirty-nine million, three hundred eighty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 93 96 108 124 144 186 216 248 279 288 372 432 496 558 744 837 864 992 1116 1488 1674 2232 2976 3348 4464 6696 8928 12671 13392 25342 26784 38013 50684 76026 101368 114039 152052 202736 228078 304104 342117 392801 405472 456156 608208 684234 785602 912312 1178403 1216416 1368468 1571204 1824624 2356806 2736936 3142408 3535209 3649248 4713612 5473872 6284816 7070418 9427224 10605627 10947744 12569632 14140836 18854448 21211254 28281672 37708896 42422508 56563344 84845016 113126688 169690032 339380064