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336020664 = 233712715749
BaseRepresentation
bin10100000001110…
…100010010111000
3212102021121200210
4110001310102320
51142010130124
653202031120
711220062040
oct2401642270
9772247623
10336020664
11162747331
12946484a0
13548002c5
14328ac720
151e776a29
hex140744b8

336020664 has 64 divisors (see below), whose sum is σ = 967680000. Its totient is φ = 95243904.

The previous prime is 336020647. The next prime is 336020677. The reversal of 336020664 is 466020633.

It is a super-2 number, since 2×3360206642 = 225819773270001792, which contains 22 as substring.

336020664 is a modest number, since divided by 20664 gives 3360 as remainder.

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, 13462 + ... + 29210.

It is an arithmetic number, because the mean of its divisors is an integer number (15120000).

Almost surely, 2336020664 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 336020664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483840000).

336020664 is an abundant number, since it is smaller than the sum of its proper divisors (631659336).

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

336020664 is a wasteful number, since it uses less digits than its factorization.

336020664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15892 (or 15888 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 336020664 is about 18330.8664279679. The cubic root of 336020664 is about 695.2195803944.

The spelling of 336020664 in words is "three hundred thirty-six million, twenty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 127 168 254 381 508 762 889 1016 1524 1778 2667 3048 3556 5334 7112 10668 15749 21336 31498 47247 62996 94494 110243 125992 188988 220486 330729 377976 440972 661458 881944 1322916 2000123 2645832 4000246 6000369 8000492 12000738 14000861 16000984 24001476 28001722 42002583 48002952 56003444 84005166 112006888 168010332 336020664