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334150960 = 245111329209
BaseRepresentation
bin10011111010101…
…011110100110000
3212021202121221111
4103322223310300
51141020312320
653054003104
711165144023
oct2372536460
9767677844
10334150960
1116168a620
1293aa6494
13542c7280
14325431ba
151e507a5a
hex13eabd30

334150960 has 80 divisors (see below), whose sum is σ = 912754080. Its totient is φ = 112158720.

The previous prime is 334150933. The next prime is 334150981. The reversal of 334150960 is 69051433.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3341509602 = 223313728137843200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3165 + ... + 26044.

It is an arithmetic number, because the mean of its divisors is an integer number (11409426).

Almost surely, 2334150960 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 334150960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456377040).

334150960 is an abundant number, since it is smaller than the sum of its proper divisors (578603120).

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

334150960 is a wasteful number, since it uses less digits than its factorization.

334150960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29246 (or 29240 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

The square root of 334150960 is about 18279.7964977732. The cubic root of 334150960 is about 693.9277221275.

The spelling of 334150960 in words is "three hundred thirty-four million, one hundred fifty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 260 286 440 520 572 715 880 1040 1144 1430 2288 2860 5720 11440 29209 58418 116836 146045 233672 292090 321299 379717 467344 584180 642598 759434 1168360 1285196 1518868 1606495 1898585 2336720 2570392 3037736 3212990 3797170 4176887 5140784 6075472 6425980 7594340 8353774 12851960 15188680 16707548 20884435 25703920 30377360 33415096 41768870 66830192 83537740 167075480 334150960