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238880328 = 233175311047
BaseRepresentation
bin11100011110100…
…00011001001000
3121122111101012120
432033100121020
5442123132303
635412011240
75630310051
oct1617203110
9548441176
10238880328
11112929365
1268000b20
133a64b30b
1423a23728
1515e89553
hexe3d0648

238880328 has 64 divisors (see below), whose sum is σ = 644319360. Its totient is φ = 73522176.

The previous prime is 238880297. The next prime is 238880329. The reversal of 238880328 is 823088832.

It is a super-2 number, since 2×2388803282 = 114127622210775168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 238880328.

It is not an unprimeable number, because it can be changed into a prime (238880329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16101 + ... + 27147.

It is an arithmetic number, because the mean of its divisors is an integer number (10067490).

Almost surely, 2238880328 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 238880328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322159680).

238880328 is an abundant number, since it is smaller than the sum of its proper divisors (405439032).

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

238880328 is a wasteful number, since it uses less digits than its factorization.

238880328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11126 (or 11122 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 238880328 is about 15455.7538800280. The cubic root of 238880328 is about 620.4785829630.

The spelling of 238880328 in words is "two hundred thirty-eight million, eight hundred eighty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 53 68 102 106 136 159 204 212 318 408 424 636 901 1272 1802 2703 3604 5406 7208 10812 11047 21624 22094 33141 44188 66282 88376 132564 187799 265128 375598 563397 585491 751196 1126794 1170982 1502392 1756473 2253588 2341964 3512946 4507176 4683928 7025892 9953347 14051784 19906694 29860041 39813388 59720082 79626776 119440164 238880328