Search a number
-
+
1380318336 = 27322979523
BaseRepresentation
bin101001001000101…
…1111110010000000
310120012022102210100
41102101133302000
510311330141321
6344545002400
746130340465
oct12221376200
93505272710
101380318336
11649176661
12326323400
1318cc7a217
14d146b66c
15812a8326
hex5245fc80

1380318336 has 192 divisors, whose sum is σ = 4168944000. Its totient is φ = 437778432.

The previous prime is 1380318319. The next prime is 1380318353. The reversal of 1380318336 is 6338130831.

1380318336 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 318 + 336 = 666.

It is an interprime number because it is at equal distance from previous prime (1380318319) and next prime (1380318353).

It is a tau number, because it is divible by the number of its divisors (192).

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 1380318336.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2638971 + ... + 2639493.

It is an arithmetic number, because the mean of its divisors is an integer number (21713250).

Almost surely, 21380318336 is an apocalyptic number.

1380318336 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 1380318336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2084472000).

1380318336 is an abundant number, since it is smaller than the sum of its proper divisors (2788625664).

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

1380318336 is a wasteful number, since it uses less digits than its factorization.

1380318336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1380318336 is about 37152.6356534769. The cubic root of 1380318336 is about 1113.4218824316.

The spelling of 1380318336 in words is "one billion, three hundred eighty million, three hundred eighteen thousand, three hundred thirty-six".