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350805968 = 24191153967
BaseRepresentation
bin10100111010001…
…101111111010000
3220110002210022122
4110322031333100
51204301242333
654450553412
711456541632
oct2472157720
9813083278
10350805968
11170025797
1299598868
13578a8cc6
143483aa52
1520be7798
hex14e8dfd0

350805968 has 20 divisors (see below), whose sum is σ = 715460160. Its totient is φ = 166171104.

The previous prime is 350805967. The next prime is 350806003. The reversal of 350805968 is 869508053.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350805967) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 576680 + ... + 577287.

It is an arithmetic number, because the mean of its divisors is an integer number (35773008).

Almost surely, 2350805968 is an apocalyptic number.

350805968 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

350805968 is an abundant number, since it is smaller than the sum of its proper divisors (364654192).

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

350805968 is a wasteful number, since it uses less digits than its factorization.

350805968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153994 (or 1153988 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 44.

The square root of 350805968 is about 18729.8149483651. The cubic root of 350805968 is about 705.2704011121.

The spelling of 350805968 in words is "three hundred fifty million, eight hundred five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 19 38 76 152 304 1153967 2307934 4615868 9231736 18463472 21925373 43850746 87701492 175402984 350805968