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350968275 = 3352774279
BaseRepresentation
bin10100111010110…
…101100111010011
3220110102000222000
4110322311213103
51204321441100
654454245043
711461116060
oct2472654723
9813360860
10350968275
11170126729
1299656783
1357934b48
143487dc67
1520c2a900
hex14eb59d3

350968275 has 48 divisors (see below), whose sum is σ = 736857600. Its totient is φ = 160440480.

The previous prime is 350968271. The next prime is 350968283. The reversal of 350968275 is 572869053.

It is a happy number.

It is not a de Polignac number, because 350968275 - 22 = 350968271 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 350968275.

It is not an unprimeable number, because it can be changed into a prime (350968271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32415 + ... + 41864.

It is an arithmetic number, because the mean of its divisors is an integer number (15351200).

Almost surely, 2350968275 is an apocalyptic number.

350968275 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

350968275 is an abundant number, since it is smaller than the sum of its proper divisors (385889325).

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

350968275 is a wasteful number, since it uses less digits than its factorization.

350968275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74305 (or 74294 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 350968275 is about 18734.1472984494. The cubic root of 350968275 is about 705.3791532278.

The spelling of 350968275 in words is "three hundred fifty million, nine hundred sixty-eight thousand, two hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 135 175 189 225 315 525 675 945 1575 4725 74279 222837 371395 519953 668511 1114185 1559859 1856975 2005533 2599765 3342555 4679577 5570925 7799295 10027665 12998825 14038731 16712775 23397885 38996475 50138325 70193655 116989425 350968275