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1348668431 = 111947251547
BaseRepresentation
bin101000001100011…
…0000110000001111
310110222202110021122
41100120300300033
510230224342211
6341454351155
745264330635
oct12030606017
93428673248
101348668431
11632319610
123177bb4bb
13186548276
14cb18d355
157d6056db
hex50630c0f

1348668431 has 32 divisors (see below), whose sum is σ = 1590865920. Its totient is φ = 1130220000.

The previous prime is 1348668427. The next prime is 1348668439.

1348668431 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1348668431 - 22 = 1348668427 is a prime.

It is a super-2 number, since 2×13486684312 = 3637813073552003522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1348668439) 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, 2465300 + ... + 2465846.

It is an arithmetic number, because the mean of its divisors is an integer number (49714560).

Almost surely, 21348668431 is an apocalyptic number.

1348668431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1348668431 is a deficient number, since it is larger than the sum of its proper divisors (242197489).

1348668431 is a wasteful number, since it uses less digits than its factorization.

1348668431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875.

The product of its digits is 331776, while the sum is 44.

The square root of 1348668431 is about 36724.2213123709. The cubic root of 1348668431 is about 1104.8459565640.

The spelling of 1348668431 in words is "one billion, three hundred forty-eight million, six hundred sixty-eight thousand, four hundred thirty-one".

Divisors: 1 11 19 47 209 251 517 547 893 2761 4769 6017 9823 10393 11797 25709 52459 114323 129767 137297 224143 282799 488471 1510267 2465573 2608643 5373181 6452959 28695073 70982549 122606221 1348668431