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238480640 = 285211883
BaseRepresentation
bin11100011011011…
…10110100000000
3121121202001221022
432031232310000
5442022340030
635355245012
75624023556
oct1615566400
9547661838
10238480640
11112686042
1267a49768
133a53b408
142395bbd6
1515e0ade5
hexe36ed00

238480640 has 72 divisors (see below), whose sum is σ = 574592928. Its totient is φ = 94832640.

The previous prime is 238480639. The next prime is 238480661. The reversal of 238480640 is 46084832.

It is a self number, because there is not a number n which added to its sum of digits gives 238480640.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 269639 + ... + 270521.

Almost surely, 2238480640 is an apocalyptic number.

238480640 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 238480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287296464).

238480640 is an abundant number, since it is smaller than the sum of its proper divisors (336112288).

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

238480640 is an equidigital number, since it uses as much as digits as its factorization.

238480640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 238480640 is about 15442.8183956168. The cubic root of 238480640 is about 620.1323338752.

The spelling of 238480640 in words is "two hundred thirty-eight million, four hundred eighty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 211 256 320 422 640 844 883 1055 1280 1688 1766 2110 3376 3532 4220 4415 6752 7064 8440 8830 13504 14128 16880 17660 27008 28256 33760 35320 54016 56512 67520 70640 113024 135040 141280 186313 226048 270080 282560 372626 565120 745252 931565 1130240 1490504 1863130 2981008 3726260 5962016 7452520 11924032 14905040 23848064 29810080 47696128 59620160 119240320 238480640