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350065120 = 25519115153
BaseRepresentation
bin10100110111011…
…001000111100000
3220101201011001211
4110313121013200
51204104040440
654423035504
711450335006
oct2467310740
9811634054
10350065120
1116a66a119
129929bb94
13576a9a32
14346c6a76
1520aeceea
hex14dd91e0

350065120 has 48 divisors (see below), whose sum is σ = 870564240. Its totient is φ = 132655104.

The previous prime is 350065087. The next prime is 350065123. The reversal of 350065120 is 21560053.

It is a happy number.

It is a super-2 number, since 2×3500651202 = 245091176481228800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 350065091 and 350065100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350065123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54537 + ... + 60616.

It is an arithmetic number, because the mean of its divisors is an integer number (18136755).

Almost surely, 2350065120 is an apocalyptic number.

It is an amenable number.

350065120 is an abundant number, since it is smaller than the sum of its proper divisors (520499120).

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

350065120 is a wasteful number, since it uses less digits than its factorization.

350065120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115187 (or 115179 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 350065120 is about 18710.0272581309. The cubic root of 350065120 is about 704.7735771717.

The spelling of 350065120 in words is "three hundred fifty million, sixty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 3040 115153 230306 460612 575765 921224 1151530 1842448 2187907 2303060 3684896 4375814 4606120 8751628 9212240 10939535 17503256 18424480 21879070 35006512 43758140 70013024 87516280 175032560 350065120