Search a number
-
+
336082656 = 253713173173
BaseRepresentation
bin10100000010000…
…011011011100000
3212102101202201210
4110002003123200
51142014121111
653203230120
711220440550
oct2402033340
9772352653
10336082656
11162789968
1294678340
13548225a0
14328c7160
151e78a0a6
hex140836e0

336082656 has 384 divisors, whose sum is σ = 1203019776. Its totient is φ = 79626240.

The previous prime is 336082633. The next prime is 336082667. The reversal of 336082656 is 656280633.

It is a happy number.

It is a super-2 number, since 2×3360826562 = 225903103328028672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

336082656 is a modest number, since divided by 82656 gives 3360 as remainder.

It is a congruent number.

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, 4603836 + ... + 4603908.

It is an arithmetic number, because the mean of its divisors is an integer number (3132864).

Almost surely, 2336082656 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 336082656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601509888).

336082656 is an abundant number, since it is smaller than the sum of its proper divisors (866937120).

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

336082656 is a wasteful number, since it uses less digits than its factorization.

336082656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 336082656 is about 18332.5572684228. The cubic root of 336082656 is about 695.2623311403.

The spelling of 336082656 in words is "three hundred thirty-six million, eighty-two thousand, six hundred fifty-six".