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350149320 = 23325972637
BaseRepresentation
bin10100110111101…
…101101011001000
3220101212102120100
4110313231223020
51204114234240
654424525400
711451135333
oct2467555310
9811772510
10350149320
1116a717404
1299320860
1357709161
143470961a
1520b17e30
hex14dedac8

350149320 has 48 divisors (see below), whose sum is σ = 1137986460. Its totient is φ = 93373056.

The previous prime is 350149313. The next prime is 350149321. The reversal of 350149320 is 23941053.

350149320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 319479876 + 30669444 = 17874^2 + 5538^2 .

It is not an unprimeable number, because it can be changed into a prime (350149321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 485959 + ... + 486678.

Almost surely, 2350149320 is an apocalyptic number.

350149320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

350149320 is an abundant number, since it is smaller than the sum of its proper divisors (787837140).

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

350149320 is a wasteful number, since it uses less digits than its factorization.

350149320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972654 (or 972647 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 350149320 is about 18712.2772531833. The cubic root of 350149320 is about 704.8300782574.

The spelling of 350149320 in words is "three hundred fifty million, one hundred forty-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 972637 1945274 2917911 3890548 4863185 5835822 7781096 8753733 9726370 11671644 14589555 17507466 19452740 23343288 29179110 35014932 38905480 43768665 58358220 70029864 87537330 116716440 175074660 350149320