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1313343342 = 233373591831
BaseRepresentation
bin100111001001000…
…0000011101101110
310101112021202101000
41032102000131232
510142203441332
6334153301130
744355143223
oct11622003556
93345252330
101313343342
11614391323
12307a047a6
1317c12a54c
14c65d594a
157a478b7c
hex4e48076e

1313343342 has 64 divisors (see below), whose sum is σ = 3007411200. Its totient is φ = 424530720.

The previous prime is 1313343341. The next prime is 1313343373. The reversal of 1313343342 is 2433433131.

1313343342 is a `hidden beast` number, since 1 + 313 + 3 + 4 + 3 + 342 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313343341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 716367 + ... + 718197.

It is an arithmetic number, because the mean of its divisors is an integer number (46990800).

Almost surely, 21313343342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313343342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503705600).

1313343342 is an abundant number, since it is smaller than the sum of its proper divisors (1694067858).

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

1313343342 is a wasteful number, since it uses less digits than its factorization.

1313343342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2238 (or 2232 counting only the distinct ones).

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

The square root of 1313343342 is about 36240.0792217677. The cubic root of 1313343342 is about 1095.1142384098.

Adding to 1313343342 its reverse (2433433131), we get a palindrome (3746776473).

The spelling of 1313343342 in words is "one billion, three hundred thirteen million, three hundred forty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 333 359 666 718 999 1077 1831 1998 2154 3231 3662 5493 6462 9693 10986 13283 16479 19386 26566 32958 39849 49437 67747 79698 98874 119547 135494 203241 239094 358641 406482 609723 657329 717282 1219446 1314658 1829169 1971987 3658338 3943974 5915961 11831922 17747883 24321173 35495766 48642346 72963519 145927038 218890557 437781114 656671671 1313343342