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351680076 = 223311296027
BaseRepresentation
bin10100111101100…
…011011001001100
3220111202012101000
4110331203121030
51210012230301
654521420300
711500142226
oct2475433114
9814665330
10351680076
111705724a0
129993a690
1357b23b27
14349c7416
1520d1b786
hex14f6364c

351680076 has 48 divisors (see below), whose sum is σ = 994654080. Its totient is φ = 106569360.

The previous prime is 351680041. The next prime is 351680093. The reversal of 351680076 is 670086153.

It is a super-3 number, since 3×3516800763 (a number of 27 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 351680076.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146826 + ... + 149201.

It is an arithmetic number, because the mean of its divisors is an integer number (20721960).

Almost surely, 2351680076 is an apocalyptic number.

351680076 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

351680076 is an abundant number, since it is smaller than the sum of its proper divisors (642974004).

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

351680076 is a wasteful number, since it uses less digits than its factorization.

351680076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296051 (or 296043 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 351680076 is about 18753.1350978976. The cubic root of 351680076 is about 705.8556925372.

The spelling of 351680076 in words is "three hundred fifty-one million, six hundred eighty thousand, seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 296027 592054 888081 1184108 1776162 2664243 3256297 3552324 5328486 6512594 7992729 9768891 10656972 13025188 15985458 19537782 29306673 31970916 39075564 58613346 87920019 117226692 175840038 351680076