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1343444676 = 223771892531
BaseRepresentation
bin101000000010011…
…0101011011000100
310110121221001122020
41100010311123010
510222410212201
6341150403140
745202043220
oct12004653304
93417831566
101343444676
1162a380962
12315b004b0
131854396a2
14ca5cd780
157ce22a36
hex501356c4

1343444676 has 96 divisors (see below), whose sum is σ = 3675248640. Its totient is φ = 374035200.

The previous prime is 1343444659. The next prime is 1343444699. The reversal of 1343444676 is 6764443431.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

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, 529531 + ... + 532061.

It is an arithmetic number, because the mean of its divisors is an integer number (38283840).

Almost surely, 21343444676 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 1343444676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837624320).

1343444676 is an abundant number, since it is smaller than the sum of its proper divisors (2331803964).

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

1343444676 is a wasteful number, since it uses less digits than its factorization.

1343444676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2705 (or 2703 counting only the distinct ones).

The product of its digits is 580608, while the sum is 42.

The square root of 1343444676 is about 36653.0309251500. The cubic root of 1343444676 is about 1103.4176558826.

The spelling of 1343444676 in words is "one billion, three hundred forty-three million, four hundred forty-four thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 89 142 178 213 267 284 356 426 497 534 623 852 994 1068 1246 1491 1869 1988 2492 2531 2982 3738 5062 5964 6319 7476 7593 10124 12638 15186 17717 18957 25276 30372 35434 37914 44233 53151 70868 75828 88466 106302 132699 176932 179701 212604 225259 265398 359402 450518 530796 539103 675777 718804 901036 1078206 1257907 1351554 1576813 2156412 2515814 2703108 3153626 3773721 4730439 5031628 6307252 7547442 9460878 15094884 15993389 18921756 31986778 47980167 63973556 95960334 111953723 191920668 223907446 335861169 447814892 671722338 1343444676