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150311364 = 22373135717
BaseRepresentation
bin10001111010110…
…01000111000100
3101110211121102120
420331121013010
5301434430424
622525405540
73503424360
oct1075310704
9343747376
10150311364
1177935175
12424098b0
13251aa848
1415d6a2a0
15d2e1a79
hex8f591c4

150311364 has 48 divisors (see below), whose sum is σ = 402181248. Its totient is φ = 42801408.

The previous prime is 150311323. The next prime is 150311377. The reversal of 150311364 is 463113051.

It is a super-2 number, since 2×1503113642 = 45187012295080992, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23434 + ... + 29150.

It is an arithmetic number, because the mean of its divisors is an integer number (8378776).

Almost surely, 2150311364 is an apocalyptic number.

150311364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

150311364 is an abundant number, since it is smaller than the sum of its proper divisors (251869884).

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

150311364 is a wasteful number, since it uses less digits than its factorization.

150311364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6044 (or 6042 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 150311364 is about 12260.1535063799. The cubic root of 150311364 is about 531.6966678672.

The spelling of 150311364 in words is "one hundred fifty million, three hundred eleven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 313 626 939 1252 1878 2191 3756 4382 5717 6573 8764 11434 13146 17151 22868 26292 34302 40019 68604 80038 120057 160076 240114 480228 1789421 3578842 5368263 7157684 10736526 12525947 21473052 25051894 37577841 50103788 75155682 150311364