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350075985 = 35717238527
BaseRepresentation
bin10100110111011…
…011110001010001
3220101201200222020
4110313123301101
51204104412420
654423202053
711450411460
oct2467336121
9811650866
10350075985
1116a6772a6
12992a6329
13576b196c
14346ca9d7
1520b01340
hex14ddbc51

350075985 has 64 divisors (see below), whose sum is σ = 707346432. Its totient is φ = 144055296.

The previous prime is 350075983. The next prime is 350075987. The reversal of 350075985 is 589570053.

It is an interprime number because it is at equal distance from previous prime (350075983) and next prime (350075987).

It is not a de Polignac number, because 350075985 - 21 = 350075983 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (350075983) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36792 + ... + 45318.

It is an arithmetic number, because the mean of its divisors is an integer number (11052288).

Almost surely, 2350075985 is an apocalyptic number.

350075985 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

350075985 is an abundant number, since it is smaller than the sum of its proper divisors (357270447).

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

350075985 is a wasteful number, since it uses less digits than its factorization.

350075985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8582.

The product of its (nonzero) digits is 189000, while the sum is 42.

The square root of 350075985 is about 18710.3176082075. The cubic root of 350075985 is about 704.7808684681.

The spelling of 350075985 in words is "three hundred fifty million, seventy-five thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 15 17 21 23 35 51 69 85 105 115 119 161 255 345 357 391 483 595 805 1173 1785 1955 2415 2737 5865 8211 8527 13685 25581 41055 42635 59689 127905 144959 179067 196121 298445 434877 588363 724795 895335 980605 1014713 1372847 2174385 2941815 3044139 3334057 4118541 5073565 6864235 10002171 15220695 16670285 20592705 23338399 50010855 70015197 116691995 350075985