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334183968 = 2534314159
BaseRepresentation
bin10011111010110…
…011111000100000
3212021211022020000
4103322303320200
51141022341333
653054420000
711165342166
oct2372637040
9767738200
10334183968
111617023a8
1293b01600
13543092c1
1432551236
151e512713
hex13eb3e20

334183968 has 120 divisors (see below), whose sum is σ = 1014773760. Its totient is φ = 107775360.

The previous prime is 334183933. The next prime is 334183973. The reversal of 334183968 is 869381433.

It is a super-2 number, since 2×3341839682 = 223357848936450048, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 19 ways as a sum of consecutive naturals, for example, 78273 + ... + 82431.

It is an arithmetic number, because the mean of its divisors is an integer number (8456448).

Almost surely, 2334183968 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 334183968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507386880).

334183968 is an abundant number, since it is smaller than the sum of its proper divisors (680589792).

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

334183968 is a wasteful number, since it uses less digits than its factorization.

334183968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4212 (or 4195 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 334183968 is about 18280.6993301679. The cubic root of 334183968 is about 693.9505704953.

The spelling of 334183968 in words is "three hundred thirty-four million, one hundred eighty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 81 93 96 108 124 144 162 186 216 248 279 288 324 372 432 496 558 648 744 837 864 992 1116 1296 1488 1674 2232 2511 2592 2976 3348 4159 4464 5022 6696 8318 8928 10044 12477 13392 16636 20088 24954 26784 33272 37431 40176 49908 66544 74862 80352 99816 112293 128929 133088 149724 199632 224586 257858 299448 336879 386787 399264 449172 515716 598896 673758 773574 898344 1031432 1160361 1197792 1347516 1547148 1796688 2062864 2320722 2695032 3094296 3481083 3593376 4125728 4641444 5390064 6188592 6962166 9282888 10443249 10780128 12377184 13924332 18565776 20886498 27848664 37131552 41772996 55697328 83545992 111394656 167091984 334183968