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334342656 = 293237253
BaseRepresentation
bin10011111011011…
…010101000000000
3212022010100220100
4103323122220000
51141042431111
653102042400
711166602634
oct2373325000
9768110810
10334342656
1116180064a
1293b79400
13543635bb
1432592dc4
151e544756
hex13edaa00

334342656 has 180 divisors, whose sum is σ = 1010431422. Its totient is φ = 106389504.

The previous prime is 334342649. The next prime is 334342661. The reversal of 334342656 is 656243433.

It can be written as a sum of positive squares in 3 ways, for example, as 324000000 + 10342656 = 18000^2 + 3216^2 .

It is a super-2 number, since 2×3343426562 = 223570023242268672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 334342656.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6308326 + ... + 6308378.

Almost surely, 2334342656 is an apocalyptic number.

334342656 is a gapful number since it is divisible by the number (36) 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 334342656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505215711).

334342656 is an abundant number, since it is smaller than the sum of its proper divisors (676088766).

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

334342656 is an equidigital number, since it uses as much as digits as its factorization.

334342656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 95 counting only the distinct ones).

The product of its digits is 155520, while the sum is 36.

The square root of 334342656 is about 18285.0391303929. The cubic root of 334342656 is about 694.0603944374.

The spelling of 334342656 in words is "three hundred thirty-four million, three hundred forty-two thousand, six hundred fifty-six".