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334283664 = 2431113311571
BaseRepresentation
bin10011111011001…
…100001110010000
3212022000100222110
4103323030032100
51141034034124
653100505320
711166235641
oct2373141620
9768010873
10334283664
111617702a0
1293b4b240
13543427b0
14325796c8
151e532029
hex13ecc390

334283664 has 160 divisors (see below), whose sum is σ = 1047932928. Its totient is φ = 90432000.

The previous prime is 334283659. The next prime is 334283689. The reversal of 334283664 is 466382433.

It is a super-2 number, since 2×3342836642 = 223491136034529792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211999 + ... + 213569.

Almost surely, 2334283664 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 334283664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523966464).

334283664 is an abundant number, since it is smaller than the sum of its proper divisors (713649264).

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

334283664 is a wasteful number, since it uses less digits than its factorization.

334283664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637 (or 1631 counting only the distinct ones).

The product of its digits is 248832, while the sum is 39.

The square root of 334283664 is about 18283.4259371705. The cubic root of 334283664 is about 694.0195716284.

The spelling of 334283664 in words is "three hundred thirty-four million, two hundred eighty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 31 33 39 44 48 52 62 66 78 88 93 104 124 132 143 156 176 186 208 248 264 286 312 341 372 403 429 496 528 572 624 682 744 806 858 1023 1144 1209 1364 1488 1571 1612 1716 2046 2288 2418 2728 3142 3224 3432 4092 4433 4713 4836 5456 6284 6448 6864 8184 8866 9426 9672 12568 13299 16368 17281 17732 18852 19344 20423 25136 26598 34562 35464 37704 40846 48701 51843 53196 61269 69124 70928 75408 81692 97402 103686 106392 122538 138248 146103 163384 194804 207372 212784 224653 245076 276496 292206 326768 389608 414744 449306 490152 535711 584412 633113 673959 779216 829488 898612 980304 1071422 1168824 1266226 1347918 1607133 1797224 1899339 2142844 2337648 2532452 2695836 3214266 3594448 3798678 4285688 5064904 5391672 6428532 6964243 7597356 8571376 10129808 10783344 12857064 13928486 15194712 20892729 25714128 27856972 30389424 41785458 55713944 83570916 111427888 167141832 334283664