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1323412040 = 235149233953
BaseRepresentation
bin100111011100001…
…1010101001001000
310102020020022000202
41032320122221020
510202243141130
6335153151332
744536550066
oct11670325110
93366208022
101323412040
1161a039065
1230b25b548
13181244462
14c7a97036
157b2b7145
hex4ee1aa48

1323412040 has 64 divisors (see below), whose sum is σ = 3013686000. Its totient is φ = 523005952.

The previous prime is 1323412033. The next prime is 1323412061. The reversal of 1323412040 is 402143231.

It can be written as a sum of positive squares in 8 ways, for example, as 112232836 + 1211179204 = 10594^2 + 34802^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1388204 + ... + 1389156.

Almost surely, 21323412040 is an apocalyptic number.

1323412040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1323412040 is an abundant number, since it is smaller than the sum of its proper divisors (1690273960).

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

1323412040 is a wasteful number, since it uses less digits than its factorization.

1323412040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1323412040 is about 36378.7305990740. The cubic root of 1323412040 is about 1097.9056679443.

Adding to 1323412040 its reverse (402143231), we get a palindrome (1725555271).

The spelling of 1323412040 in words is "one billion, three hundred twenty-three million, four hundred twelve thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 149 233 298 466 596 745 932 953 1165 1192 1490 1864 1906 2330 2980 3812 4660 4765 5960 7624 9320 9530 19060 34717 38120 69434 138868 141997 173585 222049 277736 283994 347170 444098 567988 694340 709985 888196 1110245 1135976 1388680 1419970 1776392 2220490 2839940 4440980 5679880 8881960 33085301 66170602 132341204 165426505 264682408 330853010 661706020 1323412040