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1038374136 = 233297157947
BaseRepresentation
bin111101111001000…
…101010011111000
32200100212212112100
4331321011103320
54111310433021
6251011543400
734506014562
oct7571052370
92610785470
101038374136
11493153948
1224b8bab60
13137184987
149bc9a332
1561261626
hex3de454f8

1038374136 has 96 divisors (see below), whose sum is σ = 2862372240. Its totient is φ = 340015104.

The previous prime is 1038374131. The next prime is 1038374143. The reversal of 1038374136 is 6314738301.

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 1038374136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038374131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1096015 + ... + 1096961.

Almost surely, 21038374136 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 1038374136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431186120).

1038374136 is an abundant number, since it is smaller than the sum of its proper divisors (1823998104).

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

1038374136 is a wasteful number, since it uses less digits than its factorization.

1038374136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1038374136 is about 32223.8131821794. The cubic root of 1038374136 is about 1012.6311606949.

The spelling of 1038374136 in words is "one billion, thirty-eight million, three hundred seventy-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 157 194 291 314 388 471 582 628 776 873 942 947 1164 1256 1413 1746 1884 1894 2328 2826 2841 3492 3768 3788 5652 5682 6984 7576 8523 11304 11364 15229 17046 22728 30458 34092 45687 60916 68184 91374 91859 121832 137061 148679 182748 183718 274122 275577 297358 365496 367436 446037 548244 551154 594716 734872 826731 892074 1096488 1102308 1189432 1338111 1653462 1784148 2204616 2676222 3306924 3568296 5352444 6613848 10704888 14421863 28843726 43265589 57687452 86531178 115374904 129796767 173062356 259593534 346124712 519187068 1038374136