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350005956 = 2231372111009
BaseRepresentation
bin10100110111001…
…010101011000100
3220101121010220120
4110313022223010
51204100142311
654421501540
711450000346
oct2467125304
9811533816
10350005956
1116a629723
12992718b0
1357688b21
14346ad296
1520ada706
hex14dcaac4

350005956 has 48 divisors (see below), whose sum is σ = 827359680. Its totient is φ = 115153920.

The previous prime is 350005907. The next prime is 350005961. The reversal of 350005956 is 659500053.

350005956 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 346380 + ... + 347388.

It is an arithmetic number, because the mean of its divisors is an integer number (17236660).

Almost surely, 2350005956 is an apocalyptic number.

It is an amenable number.

350005956 is an abundant number, since it is smaller than the sum of its proper divisors (477353724).

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

350005956 is a wasteful number, since it uses less digits than its factorization.

350005956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 33.

The square root of 350005956 is about 18708.4461139882. The cubic root of 350005956 is about 704.7338706801.

The spelling of 350005956 in words is "three hundred fifty million, five thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 137 211 274 411 422 548 633 822 844 1009 1266 1644 2018 2532 3027 4036 6054 12108 28907 57814 86721 115628 138233 173442 212899 276466 346884 414699 425798 552932 638697 829398 851596 1277394 1658796 2554788 29167163 58334326 87501489 116668652 175002978 350005956