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337674072 = 23331974679
BaseRepresentation
bin10100001000000…
…111111101011000
3212112101121202010
4110020013331120
51142421032242
653301305520
711240116341
oct2410077530
9775347663
10337674072
1116367658a
12951052a0
1354c5ba58
1432bbd0c8
151e9a189c
hex14207f58

337674072 has 64 divisors (see below), whose sum is σ = 880588800. Its totient is φ = 107781120.

The previous prime is 337674049. The next prime is 337674091. The reversal of 337674072 is 270476733.

It is a super-2 number, since 2×3376740722 = 228047557802122368, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 337674072.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 69829 + ... + 74507.

It is an arithmetic number, because the mean of its divisors is an integer number (13759200).

Almost surely, 2337674072 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 337674072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440294400).

337674072 is an abundant number, since it is smaller than the sum of its proper divisors (542914728).

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

337674072 is a wasteful number, since it uses less digits than its factorization.

337674072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4816 (or 4812 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 39.

The square root of 337674072 is about 18375.9100999107. The cubic root of 337674072 is about 696.3580038245.

The spelling of 337674072 in words is "three hundred thirty-seven million, six hundred seventy-four thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 97 124 186 194 248 291 372 388 582 744 776 1164 2328 3007 4679 6014 9021 9358 12028 14037 18042 18716 24056 28074 36084 37432 56148 72168 112296 145049 290098 435147 453863 580196 870294 907726 1160392 1361589 1740588 1815452 2723178 3481176 3630904 5446356 10892712 14069753 28139506 42209259 56279012 84418518 112558024 168837036 337674072