Search a number
-
+
238007376 = 243319107271
BaseRepresentation
bin11100010111110…
…11010001010000
3121120212000202000
432023323101100
5441412214001
635341154000
75620013025
oct1613732120
9546760660
10238007376
11112392512
126785b900
133a403b89
142387754c
1515d65a86
hexe2fb450

238007376 has 160 divisors (see below), whose sum is σ = 728524800. Its totient is φ = 74183040.

The previous prime is 238007359. The next prime is 238007377. The reversal of 238007376 is 673700832.

238007376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2380073762 = 113295022060810752, which contains 22 as substring.

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 238007376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238007377) 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, 878121 + ... + 878391.

It is an arithmetic number, because the mean of its divisors is an integer number (4553280).

Almost surely, 2238007376 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 238007376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364262400).

238007376 is an abundant number, since it is smaller than the sum of its proper divisors (490517424).

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

238007376 is a wasteful number, since it uses less digits than its factorization.

238007376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 238007376 is about 15427.4876762226. The cubic root of 238007376 is about 619.7218453983.

The spelling of 238007376 in words is "two hundred thirty-eight million, seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 107 108 114 144 152 171 214 216 228 271 304 321 342 428 432 456 513 542 642 684 813 856 912 963 1026 1084 1284 1368 1626 1712 1926 2033 2052 2168 2439 2568 2736 2889 3252 3852 4066 4104 4336 4878 5136 5149 5778 6099 6504 7317 7704 8132 8208 9756 10298 11556 12198 13008 14634 15408 15447 16264 18297 19512 20596 23112 24396 28997 29268 30894 32528 36594 39024 41192 46224 46341 48792 54891 57994 58536 61788 73188 82384 86991 92682 97584 109782 115988 117072 123576 139023 146376 173982 185364 219564 231976 247152 260973 278046 292752 347964 370728 439128 463952 521946 550943 556092 695928 741456 782919 878256 1043892 1101886 1112184 1391856 1565838 1652829 2087784 2203772 2224368 3131676 3305658 4175568 4407544 4958487 6263352 6611316 8815088 9916974 12526704 13222632 14875461 19833948 26445264 29750922 39667896 59501844 79335792 119003688 238007376