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238094316 = 2237171601
BaseRepresentation
bin11100011000100…
…00011111101100
3121121000110000000
432030100133230
5441423004231
635343104300
75620524345
oct1614203754
9547013000
10238094316
11112441869
12678a2090
133a434615
142389b0cc
1515d816e6
hexe3107ec

238094316 has 96 divisors (see below), whose sum is σ = 662074560. Its totient is φ = 74649600.

The previous prime is 238094303. The next prime is 238094317. The reversal of 238094316 is 613490832.

238094316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (238094317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147916 + ... + 149516.

It is an arithmetic number, because the mean of its divisors is an integer number (6896610).

Almost surely, 2238094316 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 238094316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331037280).

238094316 is an abundant number, since it is smaller than the sum of its proper divisors (423980244).

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

238094316 is a wasteful number, since it uses less digits than its factorization.

238094316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 238094316 is about 15430.3051168796. The cubic root of 238094316 is about 619.7972941220.

The spelling of 238094316 in words is "two hundred thirty-eight million, ninety-four thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 306 324 459 486 612 729 918 972 1377 1458 1601 1836 2187 2754 2916 3202 4131 4374 4803 5508 6404 8262 8748 9606 12393 14409 16524 19212 24786 27217 28818 37179 43227 49572 54434 57636 74358 81651 86454 108868 129681 148716 163302 172908 244953 259362 326604 389043 489906 518724 734859 778086 979812 1167129 1469718 1556172 2204577 2334258 2939436 3501387 4409154 4668516 6613731 7002774 8818308 13227462 14005548 19841193 26454924 39682386 59523579 79364772 119047158 238094316