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1338871688 = 23731144357
BaseRepresentation
bin100111111001101…
…1000111110001000
310110022022201200022
41033303120332020
510220222343223
6340504400012
745115136000
oct11763307610
93408281608
101338871688
11627838130
12314476008
131844c808b
14c9b5d000
157c81cac8
hex4fcd8f88

1338871688 has 64 divisors (see below), whose sum is σ = 3193776000. Its totient is φ = 521626560.

The previous prime is 1338871673. The next prime is 1338871711. The reversal of 1338871688 is 8861788331.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8006 + ... + 52362.

It is an arithmetic number, because the mean of its divisors is an integer number (49902750).

Almost surely, 21338871688 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 1338871688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596888000).

1338871688 is an abundant number, since it is smaller than the sum of its proper divisors (1854904312).

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

1338871688 is a wasteful number, since it uses less digits than its factorization.

1338871688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44395 (or 44377 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 53.

The square root of 1338871688 is about 36590.5956223727. The cubic root of 1338871688 is about 1102.1642481437.

The spelling of 1338871688 in words is "one billion, three hundred thirty-eight million, eight hundred seventy-one thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 154 196 308 343 392 539 616 686 1078 1372 2156 2744 3773 4312 7546 15092 30184 44357 88714 177428 310499 354856 487927 620998 975854 1241996 1951708 2173493 2483992 3415489 3903416 4346986 6830978 8693972 13661956 15214451 17387944 23908423 27323912 30428902 47816846 60857804 95633692 121715608 167358961 191267384 334717922 669435844 1338871688