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1344495960 = 233253734711
BaseRepresentation
bin101000000100011…
…0110000101011000
310110200220110201200
41100020312011120
510223142332320
6341225114200
745214012203
oct12010660530
93420813650
101344495960
1162aa29795
12316328960
13185717052
14ca7c493a
157d07e290
hex50236158

1344495960 has 48 divisors (see below), whose sum is σ = 4369613040. Its totient is φ = 358532160.

The previous prime is 1344495931. The next prime is 1344495961. The reversal of 1344495960 is 695944431.

1344495960 is a `hidden beast` number, since 13 + 4 + 4 + 49 + 596 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344495961) 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 11 ways as a sum of consecutive naturals, for example, 1866996 + ... + 1867715.

It is an arithmetic number, because the mean of its divisors is an integer number (91033605).

Almost surely, 21344495960 is an apocalyptic number.

1344495960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1344495960 is an abundant number, since it is smaller than the sum of its proper divisors (3025117080).

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

1344495960 is a wasteful number, since it uses less digits than its factorization.

1344495960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3734728 (or 3734721 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 1344495960 is about 36667.3691447859. The cubic root of 1344495960 is about 1103.7053994967.

The spelling of 1344495960 in words is "one billion, three hundred forty-four million, four hundred ninety-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 3734711 7469422 11204133 14938844 18673555 22408266 29877688 33612399 37347110 44816532 56020665 67224798 74694220 89633064 112041330 134449596 149388440 168061995 224082660 268899192 336123990 448165320 672247980 1344495960