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1312355352 = 23371135869
BaseRepresentation
bin100111000111000…
…1111010000011000
310101110102120002210
41032032033100120
510141430332402
6334120155120
744343556620
oct11616172030
93343376083
101312355352
11613877000
12307608aa0
1317bb72939
14c6419880
157a33106c
hex4e38f418

1312355352 has 128 divisors (see below), whose sum is σ = 4124966400. Its totient is φ = 340813440.

The previous prime is 1312355309. The next prime is 1312355381. The reversal of 1312355352 is 2535532131.

It is a congruent number.

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, 220674 + ... + 226542.

It is an arithmetic number, because the mean of its divisors is an integer number (32226300).

Almost surely, 21312355352 is an apocalyptic number.

1312355352 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 1312355352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062483200).

1312355352 is an abundant number, since it is smaller than the sum of its proper divisors (2812611048).

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

1312355352 is a wasteful number, since it uses less digits than its factorization.

1312355352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5918 (or 5892 counting only the distinct ones).

The product of its digits is 13500, while the sum is 30.

The square root of 1312355352 is about 36226.4454784071. The cubic root of 1312355352 is about 1094.8395619905.

Adding to 1312355352 its reverse (2535532131), we get a palindrome (3847887483).

The spelling of 1312355352 in words is "one billion, three hundred twelve million, three hundred fifty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 121 132 154 168 231 242 264 308 363 462 484 616 726 847 924 968 1331 1452 1694 1848 2541 2662 2904 3388 3993 5082 5324 5869 6776 7986 9317 10164 10648 11738 15972 17607 18634 20328 23476 27951 31944 35214 37268 41083 46952 55902 64559 70428 74536 82166 111804 123249 129118 140856 164332 193677 223608 246498 258236 328664 387354 451913 492996 516472 710149 774708 903826 985992 1355739 1420298 1549416 1807652 2130447 2711478 2840596 3615304 4260894 4971043 5422956 5681192 7811639 8521788 9942086 10845912 14913129 15623278 17043576 19884172 23434917 29826258 31246556 39768344 46869834 54681473 59652516 62493112 93739668 109362946 119305032 164044419 187479336 218725892 328088838 437451784 656177676 1312355352