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334796112 = 24337195827
BaseRepresentation
bin10011111101001…
…001010101010000
3212022222101221000
4103331021111100
51141201433422
653115502000
711203501650
oct2375112520
9768871830
10334796112
11161a90302
1294157900
1354491b11
1432670360
151e5d3cac
hex13f49550

334796112 has 160 divisors (see below), whose sum is σ = 1156275200. Its totient is φ = 90605952.

The previous prime is 334796083. The next prime is 334796129. The reversal of 334796112 is 211697433.

334796112 is a `hidden beast` number, since 3 + 34 + 7 + 9 + 611 + 2 = 666.

It is a super-2 number, since 2×3347961122 = 224176873220633088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

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, 54543 + ... + 60369.

It is an arithmetic number, because the mean of its divisors is an integer number (7226720).

Almost surely, 2334796112 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 334796112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578137600).

334796112 is an abundant number, since it is smaller than the sum of its proper divisors (821479088).

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

334796112 is a wasteful number, since it uses less digits than its factorization.

334796112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5870 (or 5858 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 334796112 is about 18297.4345742784. The cubic root of 334796112 is about 694.3740284375.

The spelling of 334796112 in words is "three hundred thirty-four million, seven hundred ninety-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 36 38 42 48 54 56 57 63 72 76 84 108 112 114 126 133 144 152 168 171 189 216 228 252 266 304 336 342 378 399 432 456 504 513 532 684 756 798 912 1008 1026 1064 1197 1368 1512 1596 2052 2128 2394 2736 3024 3192 3591 4104 4788 5827 6384 7182 8208 9576 11654 14364 17481 19152 23308 28728 34962 40789 46616 52443 57456 69924 81578 93232 104886 110713 122367 139848 157329 163156 209772 221426 244734 279696 314658 326312 332139 367101 419544 442852 489468 629316 652624 664278 734202 774991 839088 885704 978936 996417 1101303 1258632 1328556 1468404 1549982 1771408 1957872 1992834 2202606 2324973 2517264 2657112 2936808 2989251 3099964 3985668 4405212 4649946 5314224 5873616 5978502 6199928 6974919 7971336 8810424 9299892 11957004 12399856 13949838 15942672 17620848 18599784 20924757 23914008 27899676 37199568 41849514 47828016 55799352 83699028 111598704 167398056 334796112