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238523360 = 2552715501
BaseRepresentation
bin11100011011110…
…01001111100000
3121121211020112112
432031321033200
5442030221420
635400214452
75624262245
oct1615711740
9547736475
10238523360
11112705149
1267a6a428
133a5549aa
142396d5cc
1515e188c5
hexe3793e0

238523360 has 48 divisors (see below), whose sum is σ = 565693632. Its totient is φ = 95040000.

The previous prime is 238523353. The next prime is 238523387. The reversal of 238523360 is 63325832.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40610 + ... + 46110.

It is an arithmetic number, because the mean of its divisors is an integer number (11785284).

Almost surely, 2238523360 is an apocalyptic number.

238523360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238523360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282846816).

238523360 is an abundant number, since it is smaller than the sum of its proper divisors (327170272).

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

238523360 is a wasteful number, since it uses less digits than its factorization.

238523360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5787 (or 5779 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 238523360 is about 15444.2015008870. The cubic root of 238523360 is about 620.1693606007.

The spelling of 238523360 in words is "two hundred thirty-eight million, five hundred twenty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 271 542 1084 1355 2168 2710 4336 5420 5501 8672 10840 11002 21680 22004 27505 43360 44008 55010 88016 110020 176032 220040 440080 880160 1490771 2981542 5963084 7453855 11926168 14907710 23852336 29815420 47704672 59630840 119261680 238523360