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238308928 = 26111322003
BaseRepresentation
bin11100011010001…
…00111001000000
3121121102100101121
432031010321000
5442001341203
635351442024
75622410134
oct1615047100
9547370347
10238308928
11112579030
1267986314
133a4ab200
14239153c4
1515dc50bd
hexe344e40

238308928 has 84 divisors (see below), whose sum is σ = 558899568. Its totient is φ = 99939840.

The previous prime is 238308901. The next prime is 238308929. The reversal of 238308928 is 829803832.

It is a super-2 number, since 2×2383089282 = 113582290329018368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (238308929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117975 + ... + 119977.

Almost surely, 2238308928 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 238308928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279449784).

238308928 is an abundant number, since it is smaller than the sum of its proper divisors (320590640).

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

238308928 is a wasteful number, since it uses less digits than its factorization.

238308928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 238308928 is about 15437.2577875735. The cubic root of 238308928 is about 619.9834612307.

The spelling of 238308928 in words is "two hundred thirty-eight million, three hundred eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 169 176 208 286 338 352 416 572 676 704 832 1144 1352 1859 2003 2288 2704 3718 4006 4576 5408 7436 8012 9152 10816 14872 16024 22033 26039 29744 32048 44066 52078 59488 64096 88132 104156 118976 128192 176264 208312 286429 338507 352528 416624 572858 677014 705056 833248 1145716 1354028 1410112 1666496 2291432 2708056 3723577 4582864 5416112 7447154 9165728 10832224 14894308 18331456 21664448 29788616 59577232 119154464 238308928