Search a number
-
+
338146158 = 23726731709
BaseRepresentation
bin10100001001111…
…011001101101110
3212120021121022210
4110021323031232
51143031134113
653315351250
711244123600
oct2411731556
9776247283
10338146158
11163969239
12952b2526
13550958ac
1432ca3170
151ea466c3
hex1427b36e

338146158 has 48 divisors (see below), whose sum is σ = 788337360. Its totient is φ = 96413184.

The previous prime is 338146141. The next prime is 338146163. The reversal of 338146158 is 851641833.

It is a super-2 number, since 2×3381461582 = 228685648340321928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197008 + ... + 198716.

It is an arithmetic number, because the mean of its divisors is an integer number (16423695).

Almost surely, 2338146158 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338146158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394168680).

338146158 is an abundant number, since it is smaller than the sum of its proper divisors (450191202).

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

338146158 is a wasteful number, since it uses less digits than its factorization.

338146158 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2401 (or 2394 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 338146158 is about 18388.7508548025. The cubic root of 338146158 is about 696.6823676729.

The spelling of 338146158 in words is "three hundred thirty-eight million, one hundred forty-six thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 673 1346 1709 2019 3418 4038 4711 5127 9422 10254 11963 14133 23926 28266 32977 35889 65954 71778 83741 98931 167482 197862 251223 502446 1150157 2300314 3450471 6900942 8051099 16102198 24153297 48306594 56357693 112715386 169073079 338146158