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1334142320 = 245717353397
BaseRepresentation
bin100111110000101…
…0110010101110000
310102222102110012112
41033201112111300
510213020023240
6340215144452
745030010520
oct11741262560
93388373175
101334142320
116250a7965
12312975128
13183530534
14c928b680
157c1d6665
hex4f856570

1334142320 has 160 divisors (see below), whose sum is σ = 3773651328. Its totient is φ = 428212224.

The previous prime is 1334142317. The next prime is 1334142331. The reversal of 1334142320 is 232414331.

Adding to 1334142320 its reverse (232414331), we get a palindrome (1566556651).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3360362 + ... + 3360758.

Almost surely, 21334142320 is an apocalyptic number.

1334142320 is a gapful number since it is divisible by the number (10) 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 1334142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886825664).

1334142320 is an abundant number, since it is smaller than the sum of its proper divisors (2439509008).

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

1334142320 is a wasteful number, since it uses less digits than its factorization.

1334142320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 1334142320 is about 36525.9129933805. The cubic root of 1334142320 is about 1100.8649725529.

The spelling of 1334142320 in words is "one billion, three hundred thirty-four million, one hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 353 397 476 560 595 680 706 794 952 1190 1360 1412 1588 1765 1904 1985 2380 2471 2779 2824 3176 3530 3970 4760 4942 5558 5648 6001 6352 6749 7060 7940 9520 9884 11116 12002 12355 13498 13895 14120 15880 19768 22232 24004 24710 26996 27790 28240 30005 31760 33745 39536 42007 44464 47243 48008 49420 53992 55580 60010 67490 84014 94486 96016 98840 107984 111160 120020 134980 140141 168028 188972 197680 210035 222320 236215 240040 269960 280282 336056 377944 420070 472430 480080 539920 560564 672112 700705 755888 840140 944860 980987 1121128 1401410 1680280 1889720 1961974 2242256 2382397 2802820 3360560 3779440 3923948 4764794 4904935 5605640 7847896 9529588 9809870 11211280 11911985 15695792 16676779 19059176 19619740 23823970 33353558 38118352 39239480 47647940 66707116 78478960 83383895 95295880 133414232 166767790 190591760 266828464 333535580 667071160 1334142320