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1338895734 = 2311223181443
BaseRepresentation
bin100111111001101…
…1110110101110110
310110022100221122220
41033303132311312
510220224130414
6340505103210
745115266051
oct11763366566
93408327586
101338895734
11627854200
12314487b06
13184505cc7
14c9b67a98
157c824ca9
hex4fcded76

1338895734 has 96 divisors (see below), whose sum is σ = 3095269632. Its totient is φ = 385070400.

The previous prime is 1338895697. The next prime is 1338895739. The reversal of 1338895734 is 4375988331.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1338895739) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3022117 + ... + 3022559.

It is an arithmetic number, because the mean of its divisors is an integer number (32242392).

Almost surely, 21338895734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1338895734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547634816).

1338895734 is an abundant number, since it is smaller than the sum of its proper divisors (1756373898).

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

1338895734 is a wasteful number, since it uses less digits than its factorization.

1338895734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 663 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 51.

The square root of 1338895734 is about 36590.9242025943. The cubic root of 1338895734 is about 1102.1708463570.

The spelling of 1338895734 in words is "one billion, three hundred thirty-eight million, eight hundred ninety-five thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 121 138 181 242 253 362 363 443 506 543 726 759 886 1086 1329 1518 1991 2658 2783 3982 4163 4873 5566 5973 8326 8349 9746 10189 11946 12489 14619 16698 20378 21901 24978 29238 30567 43802 45793 53603 61134 65703 80183 91586 107206 112079 131406 137379 160366 160809 224158 240549 274758 321618 336237 481098 503723 672474 882013 1007446 1232869 1511169 1764026 1844209 2465738 2646039 3022338 3688418 3698607 5292078 5532627 7397214 9702143 11065254 19404286 20286299 29106429 40572598 58212858 60858897 121717794 223149289 446298578 669447867 1338895734