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238928004 = 223271078861
BaseRepresentation
bin11100011110111…
…00000010000100
3121122120210121100
432033130002010
5442131144004
635413020100
75630566050
oct1617340204
9548523540
10238928004
11112961167
1268024630
133a666c23
1423a36c60
1515e98739
hexe3dc084

238928004 has 72 divisors (see below), whose sum is σ = 696765888. Its totient is φ = 67619520.

The previous prime is 238927973. The next prime is 238928009. The reversal of 238928004 is 400829832.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 238928004.

It is not an unprimeable number, because it can be changed into a prime (238928009) 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, 22534 + ... + 31394.

It is an arithmetic number, because the mean of its divisors is an integer number (9677304).

Almost surely, 2238928004 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 238928004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348382944).

238928004 is an abundant number, since it is smaller than the sum of its proper divisors (457837884).

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

238928004 is a wasteful number, since it uses less digits than its factorization.

238928004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8985 (or 8980 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 238928004 is about 15457.2961413049. The cubic root of 238928004 is about 620.5198588177.

The spelling of 238928004 in words is "two hundred thirty-eight million, nine hundred twenty-eight thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 107 126 214 252 321 428 642 749 963 1284 1498 1926 2247 2996 3852 4494 6741 8861 8988 13482 17722 26583 26964 35444 53166 62027 79749 106332 124054 159498 186081 248108 318996 372162 558243 744324 948127 1116486 1896254 2232972 2844381 3792508 5688762 6636889 8533143 11377524 13273778 17066286 19910667 26547556 34132572 39821334 59732001 79642668 119464002 238928004