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336522420 = 2232513143813
BaseRepresentation
bin10100000011101…
…110110010110100
3212110020002222100
4110003232302310
51142122204140
653220502100
711224251633
oct2403566264
9773202870
10336522420
11162a5a303
129484a930
13549477c0
143299d51a
151e825530
hex140eecb4

336522420 has 72 divisors (see below), whose sum is σ = 1099314216. Its totient is φ = 82835712.

The previous prime is 336522419. The next prime is 336522427. The reversal of 336522420 is 24225633.

336522420 is a `hidden beast` number, since 3 + 3 + 652 + 2 + 4 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15539364 + 320983056 = 3942^2 + 17916^2 .

It is a super-2 number, since 2×3365224202 = 226494678325312800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (336522427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69567 + ... + 74246.

It is an arithmetic number, because the mean of its divisors is an integer number (15268253).

Almost surely, 2336522420 is an apocalyptic number.

336522420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

336522420 is an abundant number, since it is smaller than the sum of its proper divisors (762791796).

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

336522420 is a wasteful number, since it uses less digits than its factorization.

336522420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143841 (or 143836 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 336522420 is about 18344.5474187836. The cubic root of 336522420 is about 695.5654491151.

The spelling of 336522420 in words is "three hundred thirty-six million, five hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 143813 287626 431439 575252 719065 862878 1294317 1438130 1725756 1869569 2157195 2588634 2876260 3739138 4314390 5177268 5608707 6471585 7478276 8628780 9347845 11217414 12943170 16826121 18695690 22434828 25886340 28043535 33652242 37391380 56087070 67304484 84130605 112174140 168261210 336522420