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1334930500 = 225319831693
BaseRepresentation
bin100111110010001…
…0110110001000100
310110000220111101101
41033210112301010
510213220234000
6340244105444
745036502441
oct11744266104
93400814341
101334930500
11625596052
12313095284
13183748207
14c94149c8
157c2dee6a
hex4f916c44

1334930500 has 96 divisors (see below), whose sum is σ = 3107744640. Its totient is φ = 499478400.

The previous prime is 1334930483. The next prime is 1334930503. The reversal of 1334930500 is 50394331.

It is not an unprimeable number, because it can be changed into a prime (1334930503) 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, 787654 + ... + 789346.

It is an arithmetic number, because the mean of its divisors is an integer number (32372340).

Almost surely, 21334930500 is an apocalyptic number.

1334930500 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 1334930500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553872320).

1334930500 is an abundant number, since it is smaller than the sum of its proper divisors (1772814140).

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

1334930500 is a wasteful number, since it uses less digits than its factorization.

1334930500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1814 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 28.

The square root of 1334930500 is about 36536.7007268035. The cubic root of 1334930500 is about 1101.0817182801.

The spelling of 1334930500 in words is "one billion, three hundred thirty-four million, nine hundred thirty thousand, five hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 83 95 100 125 166 190 250 332 380 415 475 500 830 950 1577 1660 1693 1900 2075 2375 3154 3386 4150 4750 6308 6772 7885 8300 8465 9500 10375 15770 16930 20750 31540 32167 33860 39425 41500 42325 64334 78850 84650 128668 140519 157700 160835 169300 197125 211625 281038 321670 394250 423250 562076 643340 702595 788500 804175 846500 1405190 1608350 2669861 2810380 3216700 3512975 4020875 5339722 7025950 8041750 10679444 13349305 14051900 16083500 17564875 26698610 35129750 53397220 66746525 70259500 133493050 266986100 333732625 667465250 1334930500