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1345754060 = 225713996871
BaseRepresentation
bin101000000110110…
…1001001111001100
310110210021101111222
41100031221033030
510224003112220
6341312102512
745230502140
oct12015511714
93423241458
101345754060
11630708a42
12316834a38
13185a678a1
14caa31220
157d22be25
hex503693cc

1345754060 has 48 divisors (see below), whose sum is σ = 3232588800. Its totient is φ = 461004480.

The previous prime is 1345754009. The next prime is 1345754063. The reversal of 1345754060 is 604575431.

It is a super-2 number, since 2×13457540602 = 3622107980012967200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1345754060.

It is not an unprimeable number, because it can be changed into a prime (1345754063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192425 + ... + 199295.

It is an arithmetic number, because the mean of its divisors is an integer number (67345600).

Almost surely, 21345754060 is an apocalyptic number.

1345754060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1345754060 is an abundant number, since it is smaller than the sum of its proper divisors (1886834740).

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

1345754060 is a wasteful number, since it uses less digits than its factorization.

1345754060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8286 (or 8284 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

The square root of 1345754060 is about 36684.5207137834. The cubic root of 1345754060 is about 1104.0495529725.

The spelling of 1345754060 in words is "one billion, three hundred forty-five million, seven hundred fifty-four thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 1399 2798 5596 6871 6995 9793 13742 13990 19586 27484 27980 34355 39172 48097 48965 68710 96194 97930 137420 192388 195860 240485 480970 961940 9612529 19225058 38450116 48062645 67287703 96125290 134575406 192250580 269150812 336438515 672877030 1345754060