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238128984 = 2334418963
BaseRepresentation
bin11100011000110…
…00111101011000
3121121002012120000
432030120331120
5441430111414
635343533000
75621030412
oct1614307530
9547065500
10238128984
11112465915
12678ba160
133a447332
14238a99b2
1515d8bb09
hexe318f58

238128984 has 80 divisors (see below), whose sum is σ = 683325720. Its totient is φ = 77431680.

The previous prime is 238128983. The next prime is 238129019. The reversal of 238128984 is 489821832.

238128984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238128983) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22087 + ... + 31049.

Almost surely, 2238128984 is an apocalyptic number.

238128984 is a gapful number since it is divisible by the number (24) 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 238128984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341662860).

238128984 is an abundant number, since it is smaller than the sum of its proper divisors (445196736).

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

238128984 is a wasteful number, since it uses less digits than its factorization.

238128984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9022 (or 9009 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 238128984 is about 15431.4284497580. The cubic root of 238128984 is about 619.8273747642.

The spelling of 238128984 in words is "two hundred thirty-eight million, one hundred twenty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 81 82 108 123 162 164 216 246 324 328 369 492 648 738 984 1107 1476 2214 2952 3321 4428 6642 8856 8963 13284 17926 26568 26889 35852 53778 71704 80667 107556 161334 215112 242001 322668 367483 484002 645336 726003 734966 968004 1102449 1452006 1469932 1936008 2204898 2904012 2939864 3307347 4409796 5808024 6614694 8819592 9922041 13229388 19844082 26458776 29766123 39688164 59532246 79376328 119064492 238128984