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335964942 = 23329613517
BaseRepresentation
bin10100000001100…
…110101100001110
3212102011210021000
4110001212230032
51142001334232
653200521130
711216440425
oct2401465416
9772153230
10335964942
11162709485
12946201a6
13547b0b31
14328962bc
151e76527c
hex14066b0e

335964942 has 64 divisors (see below), whose sum is σ = 785217600. Its totient is φ = 106323840.

The previous prime is 335964917. The next prime is 335964991. The reversal of 335964942 is 249469533.

It is a super-2 number, since 2×3359649422 = 225744884506126728, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93768 + ... + 97284.

It is an arithmetic number, because the mean of its divisors is an integer number (12269025).

Almost surely, 2335964942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 335964942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392608800).

335964942 is an abundant number, since it is smaller than the sum of its proper divisors (449252658).

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

335964942 is a wasteful number, since it uses less digits than its factorization.

335964942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3618 (or 3612 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The square root of 335964942 is about 18329.3464695280. The cubic root of 335964942 is about 695.1811490605.

The spelling of 335964942 in words is "three hundred thirty-five million, nine hundred sixty-four thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 61 87 122 174 183 261 366 522 549 783 1098 1566 1647 1769 3294 3517 3538 5307 7034 10551 10614 15921 21102 31653 31842 47763 63306 94959 95526 101993 189918 203986 214537 305979 429074 611958 643611 917937 1287222 1835874 1930833 2753811 3861666 5507622 5792499 6221573 11584998 12443146 18664719 37329438 55994157 111988314 167982471 335964942