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238704240 = 24354332297
BaseRepresentation
bin11100011101001…
…01011001110000
3121122011102122210
432032211121300
5442102013430
635404132120
75625644505
oct1616453160
9548142583
10238704240
11112819035
1267b37040
133a5b9118
14239b94ac
1515e522b0
hexe3a5670

238704240 has 80 divisors (see below), whose sum is σ = 742015008. Its totient is φ = 63479808.

The previous prime is 238704227. The next prime is 238704253. The reversal of 238704240 is 42407832.

238704240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (238704227) and next prime (238704253).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 238704198 and 238704207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102772 + ... + 105068.

Almost surely, 2238704240 is an apocalyptic number.

238704240 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 238704240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371007504).

238704240 is an abundant number, since it is smaller than the sum of its proper divisors (503310768).

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

238704240 is a wasteful number, since it uses less digits than its factorization.

238704240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2746 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 238704240 is about 15450.0563105770. The cubic root of 238704240 is about 620.3260858375.

The spelling of 238704240 in words is "two hundred thirty-eight million, seven hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 433 866 1299 1732 2165 2297 2598 3464 4330 4594 5196 6495 6891 6928 8660 9188 10392 11485 12990 13782 17320 18376 20784 22970 25980 27564 34455 34640 36752 45940 51960 55128 68910 91880 103920 110256 137820 183760 275640 551280 994601 1989202 2983803 3978404 4973005 5967606 7956808 9946010 11935212 14919015 15913616 19892020 23870424 29838030 39784040 47740848 59676060 79568080 119352120 238704240