Search a number
-
+
368058141 = 33111936421
BaseRepresentation
bin10101111100000…
…001111100011101
3221122120021212000
4111330001330131
51223210330031
6100304432513
712056304543
oct2574017435
9848507760
10368058141
11179839590
12a3318739
135b3397a9
1436c4bd93
15224a43e6
hex15f01f1d

368058141 has 32 divisors (see below), whose sum is σ = 598016640. Its totient is φ = 221875200.

The previous prime is 368058137. The next prime is 368058157. The reversal of 368058141 is 141850863.

368058141 is a `hidden beast` number, since 36 + 8 + 0 + 581 + 41 = 666.

It is not a de Polignac number, because 368058141 - 22 = 368058137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 368058096 and 368058105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368058191) 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, 54111 + ... + 60531.

It is an arithmetic number, because the mean of its divisors is an integer number (18688020).

Almost surely, 2368058141 is an apocalyptic number.

It is an amenable number.

368058141 is a deficient number, since it is larger than the sum of its proper divisors (229958499).

368058141 is a wasteful number, since it uses less digits than its factorization.

368058141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6634 (or 6628 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 368058141 is about 19184.8414379687. The cubic root of 368058141 is about 716.6473117061.

The spelling of 368058141 in words is "three hundred sixty-eight million, fifty-eight thousand, one hundred forty-one".

Divisors: 1 3 9 11 27 33 99 193 297 579 1737 2123 5211 6369 6421 19107 19263 57321 57789 70631 173367 211893 635679 1239253 1907037 3717759 11153277 13631783 33459831 40895349 122686047 368058141