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238763640 = 233517117041
BaseRepresentation
bin11100011101100…
…11111001111000
3121122021110010210
432032303321320
5442110414030
635405311120
75626312623
oct1616637170
9548243123
10238763640
11112859725
1267b654a0
133a60a17b
14239d2dba
1515e64bb0
hexe3b3e78

238763640 has 64 divisors (see below), whose sum is σ = 758432160. Its totient is φ = 59924480.

The previous prime is 238763617. The next prime is 238763659. The reversal of 238763640 is 46367832.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56481 + ... + 60560.

Almost surely, 2238763640 is an apocalyptic number.

238763640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

238763640 is an abundant number, since it is smaller than the sum of its proper divisors (519668520).

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

238763640 is a wasteful number, since it uses less digits than its factorization.

238763640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117072 (or 117068 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 238763640 is about 15451.9785140933. The cubic root of 238763640 is about 620.3775362761.

The spelling of 238763640 in words is "two hundred thirty-eight million, seven hundred sixty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 117041 234082 351123 468164 585205 702246 936328 1170410 1404492 1755615 1989697 2340820 2808984 3511230 3979394 4681640 5969091 7022460 7958788 9948485 11938182 14044920 15917576 19896970 23876364 29845455 39793940 47752728 59690910 79587880 119381820 238763640