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334656090 = 23357316979
BaseRepresentation
bin10011111100100…
…111001001011010
3212022201021212000
4103330213021122
51141132443330
653112501430
711202346506
oct2374471132
9768637760
10334656090
111619a508a
12940aa876
1354443172
1432635306
151e5a7560
hex13f2725a

334656090 has 64 divisors (see below), whose sum is σ = 904694400. Its totient is φ = 88013952.

The previous prime is 334656079. The next prime is 334656097. The reversal of 334656090 is 90656433.

334656090 is a `hidden beast` number, since 3 + 3 + 4 + 6 + 560 + 90 = 666.

It is a super-2 number, since 2×3346560902 = 223989397148176200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334656097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11221 + ... + 28199.

It is an arithmetic number, because the mean of its divisors is an integer number (14135850).

Almost surely, 2334656090 is an apocalyptic number.

334656090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 334656090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452347200).

334656090 is an abundant number, since it is smaller than the sum of its proper divisors (570038310).

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

334656090 is a wasteful number, since it uses less digits than its factorization.

334656090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17068 (or 17062 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 334656090 is about 18293.6079000289. The cubic root of 334656090 is about 694.2772121022.

The spelling of 334656090 in words is "three hundred thirty-four million, six hundred fifty-six thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 73 90 135 146 219 270 365 438 657 730 1095 1314 1971 2190 3285 3942 6570 9855 16979 19710 33958 50937 84895 101874 152811 169790 254685 305622 458433 509370 764055 916866 1239467 1528110 2292165 2478934 3718401 4584330 6197335 7436802 11155203 12394670 18592005 22310406 33465609 37184010 55776015 66931218 111552030 167328045 334656090