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334130688 = 2932591229
BaseRepresentation
bin10011111010100…
…110111000000000
3212021201121010200
4103322212320000
51141014140223
653053325200
711165030643
oct2372467000
9767647120
10334130688
11161676371
1293a96800
13542bac88
1432539a5a
151e501a43
hex13ea6e00

334130688 has 120 divisors (see below), whose sum is σ = 981466200. Its totient is φ = 109400064.

The previous prime is 334130681. The next prime is 334130701. The reversal of 334130688 is 886031433.

It is a happy number.

334130688 is a `hidden beast` number, since 3 + 341 + 306 + 8 + 8 = 666.

334130688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3341306882 = 223286633326706688, 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 (334130681) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 271258 + ... + 272486.

It is an arithmetic number, because the mean of its divisors is an integer number (8178885).

Almost surely, 2334130688 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 334130688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490733100).

334130688 is an abundant number, since it is smaller than the sum of its proper divisors (647335512).

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

334130688 is a wasteful number, since it uses less digits than its factorization.

334130688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 334130688 is about 18279.2419974134. The cubic root of 334130688 is about 693.9136889619.

The spelling of 334130688 in words is "three hundred thirty-four million, one hundred thirty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 128 144 177 192 236 256 288 354 384 472 512 531 576 708 768 944 1062 1152 1229 1416 1536 1888 2124 2304 2458 2832 3687 3776 4248 4608 4916 5664 7374 7552 8496 9832 11061 11328 14748 15104 16992 19664 22122 22656 29496 30208 33984 39328 44244 45312 58992 67968 72511 78656 88488 90624 117984 135936 145022 157312 176976 217533 235968 271872 290044 314624 353952 435066 471936 580088 629248 652599 707904 870132 943872 1160176 1305198 1415808 1740264 1887744 2320352 2610396 2831616 3480528 4640704 5220792 5663232 6961056 9281408 10441584 13922112 18562816 20883168 27844224 37125632 41766336 55688448 83532672 111376896 167065344 334130688