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350868616 = 2372892113
BaseRepresentation
bin10100111010011…
…101010010001000
3220110012222020221
4110322131102020
51204310243431
654452155424
711460222400
oct2472352210
9813188227
10350868616
1117006886a
1299608b74
13578cb687
1434855800
1520c0b111
hex14e9d488

350868616 has 72 divisors (see below), whose sum is σ = 780832170. Its totient is φ = 147366912.

The previous prime is 350868613. The next prime is 350868631. The reversal of 350868616 is 616868053.

It can be written as a sum of positive squares in 3 ways, for example, as 86676100 + 264192516 = 9310^2 + 16254^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350868613) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 3104976 + ... + 3105088.

Almost surely, 2350868616 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 350868616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390416085).

350868616 is an abundant number, since it is smaller than the sum of its proper divisors (429963554).

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

350868616 is a wasteful number, since it uses less digits than its factorization.

350868616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The square root of 350868616 is about 18731.4872874526. The cubic root of 350868616 is about 705.3123817265.

The spelling of 350868616 in words is "three hundred fifty million, eight hundred sixty-eight thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 28 49 56 89 98 113 178 196 226 356 392 452 623 712 791 904 1246 1582 2492 3164 4361 4984 5537 6328 7921 8722 10057 11074 15842 17444 20114 22148 31684 34888 40228 44296 55447 63368 70399 80456 110894 140798 221788 281596 388129 443576 492793 563192 776258 895073 985586 1552516 1790146 1971172 3105032 3580292 3942344 6265511 7160584 12531022 25062044 43858577 50124088 87717154 175434308 350868616