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1345890960 = 243251869293
BaseRepresentation
bin101000000111000…
…1010101010010000
310110210112100022100
41100032022222100
510224022002320
6341315040400
745231612231
oct12016125220
93423470270
101345890960
116307a1887
123168a0100
13185ab4cab
14caa69088
157d257790
hex5038aa90

1345890960 has 60 divisors (see below), whose sum is σ = 4519952892. Its totient is φ = 358904064.

The previous prime is 1345890943. The next prime is 1345890961. The reversal of 1345890960 is 690985431.

It is a happy number.

1345890960 is a `hidden beast` number, since 1 + 3 + 4 + 589 + 0 + 9 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 302342544 + 1043548416 = 17388^2 + 32304^2 .

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

It is a super-2 number, since 2×13458909602 = 3622844952419443200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1345890961) 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, 933927 + ... + 935366.

Almost surely, 21345890960 is an apocalyptic number.

1345890960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1345890960 is an abundant number, since it is smaller than the sum of its proper divisors (3174061932).

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

1345890960 is a wasteful number, since it uses less digits than its factorization.

1345890960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869312 (or 1869303 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1345890960 is about 36686.3865759494. The cubic root of 1345890960 is about 1104.0869890498.

The spelling of 1345890960 in words is "one billion, three hundred forty-five million, eight hundred ninety thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1869293 3738586 5607879 7477172 9346465 11215758 14954344 16823637 18692930 22431516 28039395 29908688 33647274 37385860 44863032 56078790 67294548 74771720 84118185 89726064 112157580 134589096 149543440 168236370 224315160 269178192 336472740 448630320 672945480 1345890960