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1406798328 = 2331343910271
BaseRepresentation
bin101001111011010…
…0000100111111000
310122001010202111210
41103312200213320
510340120021303
6351332323120
746601405565
oct12366404770
93561122453
101406798328
11662112451
123331734a0
131955bbc60
14d4ba186c
1583789203
hex53da09f8

1406798328 has 64 divisors (see below), whose sum is σ = 3796531200. Its totient is φ = 431832960.

The previous prime is 1406798311. The next prime is 1406798339. The reversal of 1406798328 is 8238976041.

1406798328 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131833 + ... + 142103.

It is an arithmetic number, because the mean of its divisors is an integer number (59320800).

Almost surely, 21406798328 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 1406798328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898265600).

1406798328 is an abundant number, since it is smaller than the sum of its proper divisors (2389732872).

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

1406798328 is a wasteful number, since it uses less digits than its factorization.

1406798328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10732 (or 10728 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 1406798328 is about 37507.3103274548. The cubic root of 1406798328 is about 1120.4967842919.

The spelling of 1406798328 in words is "one billion, four hundred six million, seven hundred ninety-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 439 878 1317 1756 2634 3512 5268 5707 10271 10536 11414 17121 20542 22828 30813 34242 41084 45656 61626 68484 82168 123252 133523 136968 246504 267046 400569 534092 801138 1068184 1602276 3204552 4508969 9017938 13526907 18035876 27053814 36071752 54107628 58616597 108215256 117233194 175849791 234466388 351699582 468932776 703399164 1406798328