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238740672 = 2633140111
BaseRepresentation
bin11100011101011…
…10010011000000
3121122020021122010
432032232103000
5442104200142
635405012520
75626155642
oct1616562300
9548207563
10238740672
11112843445
1267b54140
133a5cc891
14239c8892
1515e5ce9c
hexe3ae4c0

238740672 has 56 divisors (see below), whose sum is σ = 652060672. Its totient is φ = 77011200.

The previous prime is 238740661. The next prime is 238740679. The reversal of 238740672 is 276047832.

It is a super-3 number, since 3×2387406723 (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 238740672.

It is not an unprimeable number, because it can be changed into a prime (238740679) by changing a digit.

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, 14104 + ... + 26007.

Almost surely, 2238740672 is an apocalyptic number.

It is an amenable number.

238740672 is an abundant number, since it is smaller than the sum of its proper divisors (413320000).

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

238740672 is a wasteful number, since it uses less digits than its factorization.

238740672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40157 (or 40147 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 238740672 is about 15451.2352904226. The cubic root of 238740672 is about 620.3576431185.

The spelling of 238740672 in words is "two hundred thirty-eight million, seven hundred forty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2976 5952 40111 80222 120333 160444 240666 320888 481332 641776 962664 1243441 1283552 1925328 2486882 2567104 3730323 3850656 4973764 7460646 7701312 9947528 14921292 19895056 29842584 39790112 59685168 79580224 119370336 238740672