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1313343432 = 2332176831571
BaseRepresentation
bin100111001001000…
…0000011111001000
310101112021202111100
41032102000133020
510142203442212
6334153301400
744355143412
oct11622003710
93345252440
101313343432
116143913a5
12307a04860
1317c12a5bb
14c65d59b2
157a478bdc
hex4e4807c8

1313343432 has 96 divisors (see below), whose sum is σ = 3774120480. Its totient is φ = 411164160.

The previous prime is 1313343407. The next prime is 1313343439. The reversal of 1313343432 is 2343433131.

1313343432 is a `hidden beast` number, since 1 + 313 + 3 + 4 + 343 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1313343396 and 1313343405.

It is not an unprimeable number, because it can be changed into a prime (1313343439) 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, 835207 + ... + 836777.

It is an arithmetic number, because the mean of its divisors is an integer number (39313755).

Almost surely, 21313343432 is an apocalyptic number.

1313343432 is a gapful number since it is divisible by the number (12) 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 1313343432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887060240).

1313343432 is an abundant number, since it is smaller than the sum of its proper divisors (2460777048).

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

1313343432 is a wasteful number, since it uses less digits than its factorization.

1313343432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2283 (or 2276 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

The square root of 1313343432 is about 36240.0804634868. The cubic root of 1313343432 is about 1095.1142634249.

Adding to 1313343432 its reverse (2343433131), we get a palindrome (3656776563).

It can be divided in two parts, 13133 and 43432, that added together give a palindrome (56565).

The spelling of 1313343432 in words is "one billion, three hundred thirteen million, three hundred forty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 683 1224 1366 1571 2049 2732 3142 4098 4713 5464 6147 6284 8196 9426 11611 12294 12568 14139 16392 18852 23222 24588 26707 28278 34833 37704 46444 49176 53414 56556 69666 80121 92888 104499 106828 113112 139332 160242 208998 213656 240363 278664 320484 417996 480726 640968 835992 961452 1072993 1922904 2145986 3218979 4291972 6437958 8583944 9656937 12875916 18240881 19313874 25751832 36481762 38627748 54722643 72963524 77255496 109445286 145927048 164167929 218890572 328335858 437781144 656671716 1313343432