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1304861168 = 24132653739
BaseRepresentation
bin100110111000110…
…1001100111110000
310100221022211000102
41031301221213300
510133021024133
6333251411532
744223064652
oct11561514760
93327284012
101304861168
1160a618566
12304bb3ba8
1317a44a800
14c54286d2
15798507e8
hex4dc699f0

1304861168 has 60 divisors (see below), whose sum is σ = 2745505080. Its totient is φ = 600507648.

The previous prime is 1304861167. The next prime is 1304861171. The reversal of 1304861168 is 8611684031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304861161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1765343 + ... + 1766081.

It is an arithmetic number, because the mean of its divisors is an integer number (45758418).

Almost surely, 21304861168 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 1304861168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372752540).

1304861168 is an abundant number, since it is smaller than the sum of its proper divisors (1440643912).

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

1304861168 is a wasteful number, since it uses less digits than its factorization.

1304861168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 1304861168 is about 36122.8621235915. The cubic root of 1304861168 is about 1092.7515612339.

The spelling of 1304861168 in words is "one billion, three hundred four million, eight hundred sixty-one thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 653 676 739 1306 1352 1478 2612 2704 2956 5224 5912 8489 9607 10448 11824 16978 19214 33956 38428 67912 76856 110357 124891 135824 153712 220714 249782 441428 482567 499564 882856 965134 999128 1765712 1930268 1998256 3860536 6273371 7721072 12546742 25093484 50186968 81553823 100373936 163107646 326215292 652430584 1304861168