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1345722660 = 22345830693
BaseRepresentation
bin101000000110110…
…0001100100100100
310110210012210110000
41100031201210210
510224001111120
6341311301300
745230311452
oct12015414444
93423183400
101345722660
11630697397
1231681a830
13185a564c9
14caa239d2
157d222990
hex50361924

1345722660 has 60 divisors (see below), whose sum is σ = 4221586908. Its totient is φ = 358858944.

The previous prime is 1345722593. The next prime is 1345722667. The reversal of 1345722660 is 662275431.

1345722660 is a `hidden beast` number, since 1 + 3 + 4 + 572 + 26 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 444282084 + 901440576 = 21078^2 + 30024^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1345722667) 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 19 ways as a sum of consecutive naturals, for example, 413727 + ... + 416966.

Almost surely, 21345722660 is an apocalyptic number.

1345722660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1345722660 is an abundant number, since it is smaller than the sum of its proper divisors (2875864248).

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

1345722660 is a wasteful number, since it uses less digits than its factorization.

1345722660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830714 (or 830703 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 1345722660 is about 36684.0927378612. The cubic root of 1345722660 is about 1104.0409661075.

The spelling of 1345722660 in words is "one billion, three hundred forty-five million, seven hundred twenty-two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 830693 1661386 2492079 3322772 4153465 4984158 7476237 8306930 9968316 12460395 14952474 16613860 22428711 24920790 29904948 37381185 44857422 49841580 67286133 74762370 89714844 112143555 134572266 149524740 224287110 269144532 336430665 448574220 672861330 1345722660