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351140032 = 2617674817
BaseRepresentation
bin10100111011011…
…111100011000000
3220110201202120101
4110323133203000
51204342440112
654502052144
711462432605
oct2473374300
9813652511
10351140032
11170233781
129971a054
1357995089
14348c66ac
1520c61757
hex14edf8c0

351140032 has 56 divisors (see below), whose sum is σ = 748948464. Its totient is φ = 162742272.

The previous prime is 351139991. The next prime is 351140047. The reversal of 351140032 is 230041153.

351140032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3511400322 = 246598644145922048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 351139991 and 351140009.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70488 + ... + 75304.

Almost surely, 2351140032 is an apocalyptic number.

351140032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374474232).

351140032 is an abundant number, since it is smaller than the sum of its proper divisors (397808432).

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

351140032 is a wasteful number, since it uses less digits than its factorization.

351140032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4913 (or 4903 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 351140032 is about 18738.7308001369. The cubic root of 351140032 is about 705.4942007100.

Adding to 351140032 its reverse (230041153), we get a palindrome (581181185).

The spelling of 351140032 in words is "three hundred fifty-one million, one hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 67 68 134 136 268 272 536 544 1072 1088 1139 2144 2278 4288 4556 4817 9112 9634 18224 19268 36448 38536 72896 77072 81889 154144 163778 308288 322739 327556 645478 655112 1290956 1310224 2581912 2620448 5163824 5240896 5486563 10327648 10973126 20655296 21946252 43892504 87785008 175570016 351140032