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338118960 = 24351408829
BaseRepresentation
bin10100001001110…
…100100100110000
3212120020020000110
4110021310210300
51143024301320
653315021320
711243651364
oct2411644460
9776206013
10338118960
1116394a863
129529a840
13550863ba
1432c972a4
151ea3d5e0
hex14274930

338118960 has 40 divisors (see below), whose sum is σ = 1048169520. Its totient is φ = 90164992.

The previous prime is 338118947. The next prime is 338118961. The reversal of 338118960 is 69811833.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×3381189602 = 228648862222963200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338118961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 704175 + ... + 704654.

It is an arithmetic number, because the mean of its divisors is an integer number (26204238).

Almost surely, 2338118960 is an apocalyptic number.

338118960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

338118960 is an abundant number, since it is smaller than the sum of its proper divisors (710050560).

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

338118960 is a wasteful number, since it uses less digits than its factorization.

338118960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408845 (or 1408839 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 338118960 is about 18388.0113117216. The cubic root of 338118960 is about 696.6636884966.

The spelling of 338118960 in words is "three hundred thirty-eight million, one hundred eighteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1408829 2817658 4226487 5635316 7044145 8452974 11270632 14088290 16905948 21132435 22541264 28176580 33811896 42264870 56353160 67623792 84529740 112706320 169059480 338118960