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1345757712 = 243136732189
BaseRepresentation
bin101000000110110…
…1010001000010000
310110210021120112020
41100031222020100
510224003221322
6341312131440
745230515605
oct12015521020
93423246466
101345757712
11630710762
12316836b80
13185a69450
14caa326ac
157d22d05c
hex5036a210

1345757712 has 80 divisors (see below), whose sum is σ = 3799965120. Its totient is φ = 407886336.

The previous prime is 1345757711. The next prime is 1345757717. The reversal of 1345757712 is 2177575431.

It is a super-2 number, since 2×13457577122 = 3622127638814949888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1345757711) 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, 25714 + ... + 57902.

It is an arithmetic number, because the mean of its divisors is an integer number (47499564).

Almost surely, 21345757712 is an apocalyptic number.

1345757712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1345757712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899982560).

1345757712 is an abundant number, since it is smaller than the sum of its proper divisors (2454207408).

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

1345757712 is a wasteful number, since it uses less digits than its factorization.

1345757712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32280 (or 32274 counting only the distinct ones).

The product of its digits is 205800, while the sum is 42.

The square root of 1345757712 is about 36684.5704895123. The cubic root of 1345757712 is about 1104.0505516655.

The spelling of 1345757712 in words is "one billion, three hundred forty-five million, seven hundred fifty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 67 78 104 134 156 201 208 268 312 402 536 624 804 871 1072 1608 1742 2613 3216 3484 5226 6968 10452 13936 20904 32189 41808 64378 96567 128756 193134 257512 386268 418457 515024 772536 836914 1255371 1545072 1673828 2156663 2510742 3347656 4313326 5021484 6469989 6695312 8626652 10042968 12939978 17253304 20085936 25879956 28036619 34506608 51759912 56073238 84109857 103519824 112146476 168219714 224292952 336439428 448585904 672878856 1345757712