Search a number
-
+
1334649360 = 243511245959
BaseRepresentation
bin100111110001101…
…0010001000010000
310110000101012201210
41033203102020100
510213132234420
6340234100120
745034222002
oct11743221020
93400335653
101334649360
11625413900
12312b7a640
1318367a265
14c9380372
157c2869e0
hex4f8d2210

1334649360 has 120 divisors (see below), whose sum is σ = 4547833920. Its totient is φ = 323544320.

The previous prime is 1334649341. The next prime is 1334649361. The reversal of 1334649360 is 639464331.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (1334649361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6061 + ... + 52019.

It is an arithmetic number, because the mean of its divisors is an integer number (37898616).

Almost surely, 21334649360 is an apocalyptic number.

1334649360 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 1334649360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2273916960).

1334649360 is an abundant number, since it is smaller than the sum of its proper divisors (3213184560).

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

1334649360 is a wasteful number, since it uses less digits than its factorization.

1334649360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45997 (or 45980 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 39.

The square root of 1334649360 is about 36532.8531598615. The cubic root of 1334649360 is about 1101.0044159166.

The spelling of 1334649360 in words is "one billion, three hundred thirty-four million, six hundred forty-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 121 132 165 176 220 240 242 264 330 363 440 484 528 605 660 726 880 968 1210 1320 1452 1815 1936 2420 2640 2904 3630 4840 5808 7260 9680 14520 29040 45959 91918 137877 183836 229795 275754 367672 459590 505549 551508 689385 735344 919180 1011098 1103016 1378770 1516647 1838360 2022196 2206032 2527745 2757540 3033294 3676720 4044392 5055490 5515080 5561039 6066588 7583235 8088784 10110980 11030160 11122078 12133176 15166470 16683117 20221960 22244156 24266352 27805195 30332940 33366234 40443920 44488312 55610390 60665880 66732468 83415585 88976624 111220780 121331760 133464936 166831170 222441560 266929872 333662340 444883120 667324680 1334649360