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1349374968 = 233218741319
BaseRepresentation
bin101000001101101…
…1101001111111000
310111001002100110200
41100123131033320
510230414444333
6341521442200
745303332544
oct12033351770
93431070420
101349374968
11632761427
12317aa0360
13186734a36
14cb2d4a24
157d6e4c13
hex506dd3f8

1349374968 has 24 divisors (see below), whose sum is σ = 3654557400. Its totient is φ = 449791632.

The previous prime is 1349374963. The next prime is 1349374973. The reversal of 1349374968 is 8694739431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1349374963) and next prime (1349374973).

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1349374963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9370588 + ... + 9370731.

It is an arithmetic number, because the mean of its divisors is an integer number (152273225).

Almost surely, 21349374968 is an apocalyptic number.

1349374968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1349374968 is an abundant number, since it is smaller than the sum of its proper divisors (2305182432).

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

1349374968 is a wasteful number, since it uses less digits than its factorization.

1349374968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18741331 (or 18741324 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 1349374968 is about 36733.8395488411. The cubic root of 1349374968 is about 1105.0388575158.

The spelling of 1349374968 in words is "one billion, three hundred forty-nine million, three hundred seventy-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 18741319 37482638 56223957 74965276 112447914 149930552 168671871 224895828 337343742 449791656 674687484 1349374968