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336525420 = 2235711233167
BaseRepresentation
bin10100000011101…
…111100001101100
3212110020021002110
4110003233201230
51142122303140
653220524020
711224263450
oct2403574154
9773207073
10336525420
11162a61590
1294850610
1354948c8a
14329a0660
151e826380
hex140ef86c

336525420 has 192 divisors, whose sum is σ = 1226244096. Its totient is φ = 66865920.

The previous prime is 336525341. The next prime is 336525433. The reversal of 336525420 is 24525633.

It is a super-3 number, since 3×3365254203 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104677 + ... + 107843.

It is an arithmetic number, because the mean of its divisors is an integer number (6386688).

Almost surely, 2336525420 is an apocalyptic number.

336525420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 336525420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613122048).

336525420 is an abundant number, since it is smaller than the sum of its proper divisors (889718676).

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

336525420 is a wasteful number, since it uses less digits than its factorization.

336525420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3220 (or 3218 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 336525420 is about 18344.6291867674. The cubic root of 336525420 is about 695.5675160306.

The spelling of 336525420 in words is "three hundred thirty-six million, five hundred twenty-five thousand, four hundred twenty".