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1334428560 = 24335617791
BaseRepresentation
bin100111110001001…
…1100001110010000
310102222221222212000
41033202130032100
510213103203220
6340225234000
745032312163
oct11742341620
93388858760
101334428560
11625282a23
12312a92900
131836008ca
14c9323ada
157c241390
hex4f89c390

1334428560 has 80 divisors (see below), whose sum is σ = 4596372480. Its totient is φ = 355847040.

The previous prime is 1334428483. The next prime is 1334428561. The reversal of 1334428560 is 658244331.

1334428560 is a `hidden beast` number, since 1 + 33 + 44 + 28 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1334428561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 306736 + ... + 311055.

It is an arithmetic number, because the mean of its divisors is an integer number (57454656).

Almost surely, 21334428560 is an apocalyptic number.

1334428560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1334428560 is an abundant number, since it is smaller than the sum of its proper divisors (3261943920).

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

1334428560 is a wasteful number, since it uses less digits than its factorization.

1334428560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617813 (or 617801 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 1334428560 is about 36529.8310973374. The cubic root of 1334428560 is about 1100.9436970518.

The spelling of 1334428560 in words is "one billion, three hundred thirty-four million, four hundred twenty-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 617791 1235582 1853373 2471164 3088955 3706746 4942328 5560119 6177910 7413492 9266865 9884656 11120238 12355820 14826984 16680357 18533730 22240476 24711640 27800595 29653968 33360714 37067460 44480952 49423280 55601190 66721428 74134920 83401785 88961904 111202380 133442856 148269840 166803570 222404760 266885712 333607140 444809520 667214280 1334428560