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38957334 = 23131997271
BaseRepresentation
bin1001010010011…
…1000100010110
32201022020102020
42110213010112
534433113314
63510554010
7652063143
oct224470426
981266366
1038957334
111aa99249
1211068906
1380c00a0
1452613ca
153647da9
hex2527116

38957334 has 64 divisors (see below), whose sum is σ = 89564160. Its totient is φ = 11197440.

The previous prime is 38957311. The next prime is 38957371. The reversal of 38957334 is 43375983.

It is a happy number.

Its product of digits (272160) is a multiple of the sum of its prime divisors (405).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143619 + ... + 143889.

It is an arithmetic number, because the mean of its divisors is an integer number (1399440).

Almost surely, 238957334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38957334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44782080).

38957334 is an abundant number, since it is smaller than the sum of its proper divisors (50606826).

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

38957334 is a wasteful number, since it uses less digits than its factorization.

38957334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405.

The product of its digits is 272160, while the sum is 42.

The square root of 38957334 is about 6241.5810497021. The cubic root of 38957334 is about 338.9974329998.

The spelling of 38957334 in words is "thirty-eight million, nine hundred fifty-seven thousand, three hundred thirty-four".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 97 114 194 247 271 291 494 542 582 741 813 1261 1482 1626 1843 2522 3523 3686 3783 5149 5529 7046 7566 10298 10569 11058 15447 21138 23959 26287 30894 47918 52574 66937 71877 78861 133874 143754 157722 200811 341731 401622 499453 683462 998906 1025193 1498359 2050386 2996718 6492889 12985778 19478667 38957334