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238350840 = 233571322373
BaseRepresentation
bin11100011010011…
…11000111111000
3121121111110212220
432031033013320
5442004211330
635352404040
75622643260
oct1615170770
9547443786
10238350840
111125a7572
12679a6620
133a4c4300
14239267a0
1515dd2710
hexe34f1f8

238350840 has 384 divisors, whose sum is σ = 936023040. Its totient is φ = 47443968.

The previous prime is 238350823. The next prime is 238350859. The reversal of 238350840 is 48053832.

It is a super-2 number, since 2×2383508402 = 113622245857411200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3265044 + ... + 3265116.

It is an arithmetic number, because the mean of its divisors is an integer number (2437560).

Almost surely, 2238350840 is an apocalyptic number.

238350840 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 238350840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468011520).

238350840 is an abundant number, since it is smaller than the sum of its proper divisors (697672200).

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

238350840 is a wasteful number, since it uses less digits than its factorization.

238350840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 238350840 is about 15438.6152228754. The cubic root of 238350840 is about 620.0198051252.

The spelling of 238350840 in words is "two hundred thirty-eight million, three hundred fifty thousand, eight hundred forty".