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1334428968 = 2332941101463
BaseRepresentation
bin100111110001001…
…1100010100101000
310102222222000102010
41033202130110220
510213103211333
6340225235520
745032313315
oct11742342450
93388860363
101334428968
11625283264
12312a92ba0
13183600b52
14c9323d0c
157c241563
hex4f89c528

1334428968 has 128 divisors (see below), whose sum is σ = 3577996800. Its totient is φ = 413952000.

The previous prime is 1334428967. The next prime is 1334428969. The reversal of 1334428968 is 8698244331.

It is an interprime number because it is at equal distance from previous prime (1334428967) and next prime (1334428969).

It is not an unprimeable number, because it can be changed into a prime (1334428967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2881905 + ... + 2882367.

It is an arithmetic number, because the mean of its divisors is an integer number (27953100).

Almost surely, 21334428968 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 1334428968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788998400).

1334428968 is an abundant number, since it is smaller than the sum of its proper divisors (2243567832).

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

1334428968 is a wasteful number, since it uses less digits than its factorization.

1334428968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 639 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The square root of 1334428968 is about 36529.8366818139. The cubic root of 1334428968 is about 1100.9438092559.

The spelling of 1334428968 in words is "one billion, three hundred thirty-four million, four hundred twenty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 41 58 82 87 101 116 123 164 174 202 232 246 303 328 348 404 463 492 606 696 808 926 984 1189 1212 1389 1852 2378 2424 2778 2929 3567 3704 4141 4756 5556 5858 7134 8282 8787 9512 11112 11716 12423 13427 14268 16564 17574 18983 23432 24846 26854 28536 33128 35148 37966 40281 46763 49692 53708 56949 70296 75932 80562 93526 99384 107416 113898 120089 140289 151864 161124 187052 227796 240178 280578 322248 360267 374104 455592 480356 550507 561156 720534 960712 1101014 1122312 1356127 1441068 1651521 1917283 2202028 2712254 2882136 3303042 3834566 4068381 4404056 5424508 5751849 6606084 7669132 8136762 10849016 11503698 13212168 15338264 16273524 23007396 32547048 46014792 55601207 111202414 166803621 222404828 333607242 444809656 667214484 1334428968