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238316664 = 23329437963
BaseRepresentation
bin11100011010001…
…10110001111000
3121121102202000010
432031012301320
5442002113124
635351541520
75622441525
oct1615066170
9547382003
10238316664
11112583923
126798a8a0
133a4b18a1
142391814c
1515dc7529
hexe346c78

238316664 has 64 divisors (see below), whose sum is σ = 630748800. Its totient is φ = 74906496.

The previous prime is 238316657. The next prime is 238316759. The reversal of 238316664 is 466613832.

238316664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

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, 25947 + ... + 33909.

It is an arithmetic number, because the mean of its divisors is an integer number (9855450).

Almost surely, 2238316664 is an apocalyptic number.

238316664 is a gapful number since it is divisible by the number (24) 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 238316664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315374400).

238316664 is an abundant number, since it is smaller than the sum of its proper divisors (392432136).

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

238316664 is a wasteful number, since it uses less digits than its factorization.

238316664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8044 (or 8040 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 238316664 is about 15437.5083481759. The cubic root of 238316664 is about 619.9901698060.

The spelling of 238316664 in words is "two hundred thirty-eight million, three hundred sixteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 29 43 58 86 87 116 129 172 174 232 258 344 348 516 696 1032 1247 2494 3741 4988 7482 7963 9976 14964 15926 23889 29928 31852 47778 63704 95556 191112 230927 342409 461854 684818 692781 923708 1027227 1369636 1385562 1847416 2054454 2739272 2771124 4108908 5542248 8217816 9929861 19859722 29789583 39719444 59579166 79438888 119158332 238316664