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334990656 = 263272111383
BaseRepresentation
bin10011111101111…
…000110101000000
3212100100021210100
4103331320311000
51141224200111
653124002400
711205242100
oct2375706500
9770307710
10334990656
11162103490
1294230400
135452c530
14326c1200
151e621756
hex13f78d40

334990656 has 504 divisors, whose sum is σ = 1328037984. Its totient is φ = 79349760.

The previous prime is 334990651. The next prime is 334990673. The reversal of 334990656 is 656099433.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×3349906562 = 224437479214620672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334990651) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4035991 + ... + 4036073.

It is an arithmetic number, because the mean of its divisors is an integer number (2634996).

Almost surely, 2334990656 is an apocalyptic number.

334990656 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 334990656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664018992).

334990656 is an abundant number, since it is smaller than the sum of its proper divisors (993047328).

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

334990656 is a wasteful number, since it uses less digits than its factorization.

334990656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 334990656 is about 18302.7499573152. The cubic root of 334990656 is about 694.5084984818.

The spelling of 334990656 in words is "three hundred thirty-four million, nine hundred ninety thousand, six hundred fifty-six".