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1343472312 = 2337131075749
BaseRepresentation
bin101000000010011…
…1100001010111000
310110121222110112210
41100010330022320
510222412103222
6341151135120
745202216620
oct12004741270
93417873483
101343472312
1162a39a6a6
12315b144a0
13185449140
14ca5d9880
157ce2ad0c
hex5013c2b8

1343472312 has 128 divisors (see below), whose sum is σ = 4173120000. Its totient is φ = 350949888.

The previous prime is 1343472307. The next prime is 1343472323. The reversal of 1343472312 is 2132743431.

It is a super-2 number, since 2×13434723122 = 3609835706221250688, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1343472312.

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, 230814 + ... + 236562.

It is an arithmetic number, because the mean of its divisors is an integer number (32602500).

Almost surely, 21343472312 is an apocalyptic number.

1343472312 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 1343472312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2086560000).

1343472312 is an abundant number, since it is smaller than the sum of its proper divisors (2829647688).

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

1343472312 is a wasteful number, since it uses less digits than its factorization.

1343472312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5885 (or 5881 counting only the distinct ones).

The product of its digits is 12096, while the sum is 30.

The square root of 1343472312 is about 36653.4079179549. The cubic root of 1343472312 is about 1103.4252219655.

The spelling of 1343472312 in words is "one billion, three hundred forty-three million, four hundred seventy-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 107 156 168 182 214 273 312 321 364 428 546 642 728 749 856 1092 1284 1391 1498 2184 2247 2568 2782 2996 4173 4494 5564 5749 5992 8346 8988 9737 11128 11498 16692 17247 17976 19474 22996 29211 33384 34494 38948 40243 45992 58422 68988 74737 77896 80486 116844 120729 137976 149474 160972 224211 233688 241458 298948 321944 448422 482916 523159 597896 615143 896844 965832 1046318 1230286 1569477 1793688 1845429 2092636 2460572 3138954 3690858 4185272 4306001 4921144 6277908 7381716 7996859 8612002 12555816 12918003 14763432 15993718 17224004 23990577 25836006 31987436 34448008 47981154 51672012 55978013 63974872 95962308 103344024 111956026 167934039 191924616 223912052 335868078 447824104 671736156 1343472312