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1314134328 = 2331337113837
BaseRepresentation
bin100111001010100…
…0001100100111000
310101120202221101210
41032111001210320
510142404244303
6334222243120
744364646263
oct11625014470
93346687353
101314134328
11614881631
123081264a0
1317c3465a0
14c675dcda
157a583203
hex4e541938

1314134328 has 64 divisors (see below), whose sum is σ = 3633708960. Its totient is φ = 393417216.

The previous prime is 1314134321. The next prime is 1314134329. The reversal of 1314134328 is 8234314131.

It is a happy number.

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 = 1314134295 and 1314134304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314134321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45375 + ... + 68462.

Almost surely, 21314134328 is an apocalyptic number.

It is an amenable number.

1314134328 is an abundant number, since it is smaller than the sum of its proper divisors (2319574632).

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

1314134328 is a wasteful number, since it uses less digits than its factorization.

1314134328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113896 (or 113892 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 1314134328 is about 36250.9907174963. The cubic root of 1314134328 is about 1095.3340454123.

Adding to 1314134328 its reverse (8234314131), we get a palindrome (9548448459).

The spelling of 1314134328 in words is "one billion, three hundred fourteen million, one hundred thirty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 52 74 78 104 111 148 156 222 296 312 444 481 888 962 1443 1924 2886 3848 5772 11544 113837 227674 341511 455348 683022 910696 1366044 1479881 2732088 2959762 4211969 4439643 5919524 8423938 8879286 11839048 12635907 16847876 17758572 25271814 33695752 35517144 50543628 54755597 101087256 109511194 164266791 219022388 328533582 438044776 657067164 1314134328