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334405368 = 233311172487
BaseRepresentation
bin10011111011101…
…001111011111000
3212022020112221000
4103323221323320
51141101432433
653103245000
711200253523
oct2373517370
9768215830
10334405368
11161843780
1293ba9760
1354385ccb
14325abbba
151e558113
hex13ee9ef8

334405368 has 192 divisors, whose sum is σ = 1078675200. Its totient is φ = 95178240.

The previous prime is 334405363. The next prime is 334405381. The reversal of 334405368 is 863504433.

It is a super-2 number, since 2×3344053682 = 223653900294430848, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334405361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 686421 + ... + 686907.

It is an arithmetic number, because the mean of its divisors is an integer number (5618100).

Almost surely, 2334405368 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 334405368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539337600).

334405368 is an abundant number, since it is smaller than the sum of its proper divisors (744269832).

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

334405368 is a wasteful number, since it uses less digits than its factorization.

334405368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 334405368 is about 18286.7538945544. The cubic root of 334405368 is about 694.1037862428.

The spelling of 334405368 in words is "three hundred thirty-four million, four hundred five thousand, three hundred sixty-eight".