Search a number
-
+
238950684 = 223275991583
BaseRepresentation
bin11100011111000…
…01100100011100
3121122121221201100
432033201210130
5442132410214
635413313100
75631022140
oct1617414434
9548557640
10238950684
11112977205
1268035790
133a67434b
1423a41220
1515ea0309
hexe3e191c

238950684 has 72 divisors (see below), whose sum is σ = 691891200. Its totient is φ = 68114592.

The previous prime is 238950683. The next prime is 238950689. The reversal of 238950684 is 486059832.

238950684 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 not an unprimeable number, because it can be changed into a prime (238950683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150157 + ... + 151739.

It is an arithmetic number, because the mean of its divisors is an integer number (9609600).

Almost surely, 2238950684 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238950684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345945600).

238950684 is an abundant number, since it is smaller than the sum of its proper divisors (452940516).

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

238950684 is a wasteful number, since it uses less digits than its factorization.

238950684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2199 (or 2194 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 238950684 is about 15458.0297580254. The cubic root of 238950684 is about 620.5394922706.

The spelling of 238950684 in words is "two hundred thirty-eight million, nine hundred fifty thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 599 1198 1583 1797 2396 3166 3594 4193 4749 5391 6332 7188 8386 9498 10782 11081 12579 14247 16772 18996 21564 22162 25158 28494 33243 37737 44324 50316 56988 66486 75474 99729 132972 150948 199458 398916 948217 1896434 2844651 3792868 5689302 6637519 8533953 11378604 13275038 17067906 19912557 26550076 34135812 39825114 59737671 79650228 119475342 238950684