Search a number
-
+
32340110440 = 2351127698689
BaseRepresentation
bin11110000111100111…
…101110110001101000
310002110211121211102011
4132013213232301220
51012213032013230
622505024445304
72223263255161
oct360747566150
9102424554364
1032340110440
1112796170700
126326779834
133085142131
1417cb158768
15c942bee2a
hex7879eec68

32340110440 has 96 divisors (see below), whose sum is σ = 80094861000. Its totient is φ = 11743395840.

The previous prime is 32340110437. The next prime is 32340110447. The reversal of 32340110440 is 4401104323.

It can be written as a sum of positive squares in 4 ways, for example, as 29741761764 + 2598348676 = 172458^2 + 50974^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (32340110447) 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, 3717616 + ... + 3726304.

Almost surely, 232340110440 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 32340110440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40047430500).

32340110440 is an abundant number, since it is smaller than the sum of its proper divisors (47754750560).

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

32340110440 is a wasteful number, since it uses less digits than its factorization.

32340110440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9491 (or 9476 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 32340110440 its reverse (4401104323), we get a palindrome (36741214763).

The spelling of 32340110440 in words is "thirty-two billion, three hundred forty million, one hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 769 968 1210 1538 2420 3076 3845 4840 6152 7690 8459 8689 15380 16918 17378 30760 33836 34756 42295 43445 67672 69512 84590 86890 93049 95579 169180 173780 186098 191158 338360 347560 372196 382316 465245 477895 744392 764632 930490 955790 1051369 1860980 1911580 2102738 3721960 3823160 4205476 5256845 6681841 8410952 10513690 13363682 21027380 26727364 33409205 42054760 53454728 66818410 73500251 133636820 147000502 267273640 294001004 367501255 588002008 735002510 808502761 1470005020 1617005522 2940010040 3234011044 4042513805 6468022088 8085027610 16170055220 32340110440