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1349071938 = 232294360103
BaseRepresentation
bin101000001101001…
…0011010001000010
310111000111221210100
41100122103101002
510230330300223
6341511143230
745300631224
oct12032232102
93430457710
101349071938
11632574795
12317974b16
13186659b26
14cb256414
157d685043
hex50693442

1349071938 has 48 divisors (see below), whose sum is σ = 3094153920. Its totient is φ = 424079712.

The previous prime is 1349071937. The next prime is 1349071939. The reversal of 1349071938 is 8391709431.

1349071938 is a `hidden beast` number, since 1 + 3 + 490 + 71 + 93 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1349071937) and next prime (1349071939).

It is a junction number, because it is equal to n+sod(n) for n = 1349071893 and 1349071902.

It is not an unprimeable number, because it can be changed into a prime (1349071937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7606 + ... + 52497.

It is an arithmetic number, because the mean of its divisors is an integer number (64461540).

Almost surely, 21349071938 is an apocalyptic number.

1349071938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1349071938 is an abundant number, since it is smaller than the sum of its proper divisors (1745081982).

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

1349071938 is a wasteful number, since it uses less digits than its factorization.

1349071938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60183 (or 60180 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 1349071938 is about 36729.7146463187. The cubic root of 1349071938 is about 1104.9561315618.

The spelling of 1349071938 in words is "one billion, three hundred forty-nine million, seventy-one thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 18 29 43 58 86 87 129 174 258 261 387 522 774 1247 2494 3741 7482 11223 22446 60103 120206 180309 360618 540927 1081854 1742987 2584429 3485974 5168858 5228961 7753287 10457922 15506574 15686883 23259861 31373766 46519722 74948441 149896882 224845323 449690646 674535969 1349071938