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1374882336 = 253658937
BaseRepresentation
bin101000111110011…
…0000101000100000
310112211002021000000
41101330300220200
510303432213321
6344232300000
746033210212
oct12174605040
93484067000
101374882336
116460a34a3
12324541600
1318bac5b59
14d08545b2
1580a82826
hex51f30a20

1374882336 has 84 divisors (see below), whose sum is σ = 4058411742. Its totient is φ = 458286336.

The previous prime is 1374882319. The next prime is 1374882347. The reversal of 1374882336 is 6332884731.

1374882336 is a `hidden beast` number, since 137 + 488 + 2 + 3 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1372257936 + 2624400 = 37044^2 + 1620^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1374882291 and 1374882300.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 6141 + ... + 52796.

Almost surely, 21374882336 is an apocalyptic number.

1374882336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1374882336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2029205871).

1374882336 is an abundant number, since it is smaller than the sum of its proper divisors (2683529406).

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

1374882336 is an frugal number, since it uses more digits than its factorization.

1374882336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58965 (or 58942 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 1374882336 is about 37079.4058204821. The cubic root of 1374882336 is about 1111.9583253019.

The spelling of 1374882336 in words is "one billion, three hundred seventy-four million, eight hundred eighty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2592 2916 3888 5832 7776 11664 23328 58937 117874 176811 235748 353622 471496 530433 707244 942992 1060866 1414488 1591299 1885984 2121732 2828976 3182598 4243464 4773897 5657952 6365196 8486928 9547794 12730392 14321691 16973856 19095588 25460784 28643382 38191176 42965073 50921568 57286764 76382352 85930146 114573528 152764704 171860292 229147056 343720584 458294112 687441168 1374882336