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350516034 = 232116532711
BaseRepresentation
bin10100111001000…
…111001101000010
3220102120001121100
4110321013031002
51204213003114
654440435230
711454223431
oct2471071502
9812501540
10350516034
1116a947980
1299478b16
135780704b
14347a3118
1520b8b909
hex14e47342

350516034 has 48 divisors (see below), whose sum is σ = 830067264. Its totient is φ = 106015200.

The previous prime is 350516029. The next prime is 350516051. The reversal of 350516034 is 430615053.

350516034 is a `hidden beast` number, since 3 + 5 + 0 + 51 + 603 + 4 = 666.

It is a super-2 number, since 2×3505160342 = 245722980182178312, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 350515989 and 350516007.

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 23 ways as a sum of consecutive naturals, for example, 127939 + ... + 130649.

It is an arithmetic number, because the mean of its divisors is an integer number (17293068).

Almost surely, 2350516034 is an apocalyptic number.

350516034 is an abundant number, since it is smaller than the sum of its proper divisors (479551230).

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

350516034 is a wasteful number, since it uses less digits than its factorization.

350516034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3383 (or 3380 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 350516034 is about 18722.0734428642. The cubic root of 350516034 is about 705.0760503443.

The spelling of 350516034 in words is "three hundred fifty million, five hundred sixteen thousand, thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 653 1306 1959 2711 3918 5422 5877 7183 8133 11754 14366 16266 21549 24399 29821 43098 48798 59642 64647 89463 129294 178926 268389 536778 1770283 3540566 5310849 10621698 15932547 19473113 31865094 38946226 58419339 116838678 175258017 350516034