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238370240 = 2655771291
BaseRepresentation
bin11100011010100…
…11110111000000
3121121112110111102
432031103313000
5442010321430
635353033532
75623053653
oct1615236700
9547473442
10238370240
111126100a9
12679b58a8
133a5000a4
142392d89a
1515dd8345
hexe353dc0

238370240 has 56 divisors (see below), whose sum is σ = 569043312. Its totient is φ = 95109120.

The previous prime is 238370239. The next prime is 238370263. The reversal of 238370240 is 42073832.

238370240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 183995 + ... + 185285.

Almost surely, 2238370240 is an apocalyptic number.

238370240 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 238370240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284521656).

238370240 is an abundant number, since it is smaller than the sum of its proper divisors (330673072).

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

238370240 is a wasteful number, since it uses less digits than its factorization.

238370240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1885 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 238370240 is about 15439.2435047835. The cubic root of 238370240 is about 620.0366263482.

The spelling of 238370240 in words is "two hundred thirty-eight million, three hundred seventy thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 577 1154 1291 2308 2582 2885 4616 5164 5770 6455 9232 10328 11540 12910 18464 20656 23080 25820 36928 41312 46160 51640 82624 92320 103280 184640 206560 413120 744907 1489814 2979628 3724535 5959256 7449070 11918512 14898140 23837024 29796280 47674048 59592560 119185120 238370240