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238746540 = 223516723827
BaseRepresentation
bin11100011101011…
…11101110101100
3121122020120200110
432032233232230
5442104342130
635405100020
75626212024
oct1616575654
9548216613
10238746540
1111284789a
1267b57610
133a602456
14239caa84
1515e5eab0
hexe3afbac

238746540 has 48 divisors (see below), whose sum is σ = 672521472. Its totient is φ = 63281856.

The previous prime is 238746523. The next prime is 238746551. The reversal of 238746540 is 45647832.

It is a happy number.

238746540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 1894 + ... + 21933.

It is an arithmetic number, because the mean of its divisors is an integer number (14010864).

Almost surely, 2238746540 is an apocalyptic number.

238746540 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 238746540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336260736).

238746540 is an abundant number, since it is smaller than the sum of its proper divisors (433774932).

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

238746540 is a wasteful number, since it uses less digits than its factorization.

238746540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24006 (or 24004 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 238746540 is about 15451.4251769861. The cubic root of 238746540 is about 620.3627256610.

The spelling of 238746540 in words is "two hundred thirty-eight million, seven hundred forty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 167 334 501 668 835 1002 1670 2004 2505 3340 5010 10020 23827 47654 71481 95308 119135 142962 238270 285924 357405 476540 714810 1429620 3979109 7958218 11937327 15916436 19895545 23874654 39791090 47749308 59686635 79582180 119373270 238746540