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1345715856 = 243410192
BaseRepresentation
bin101000000110101…
…1111111010010000
310110210012110010000
41100031133322100
510224000401411
6341311210000
745230252562
oct12015377220
93423173100
101345715856
11630692271
12316816900
13185a53394
14caa21332
157d220956
hex5035fe90

1345715856 has 75 divisors (see below), whose sum is σ = 3898718131. Its totient is φ = 448131744.

The previous prime is 1345715849. The next prime is 1345715857. The reversal of 1345715856 is 6585175431.

The square root of 1345715856 is 36684.

It is a perfect power (a square), and thus also a powerful number.

1345715856 is a `hidden beast` number, since 13 + 4 + 57 + 1 + 585 + 6 = 666.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1345715857) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1320115 + ... + 1321133.

Almost surely, 21345715856 is an apocalyptic number.

1345715856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1345715856 is the 36684-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1345715856

1345715856 is an abundant number, since it is smaller than the sum of its proper divisors (2553002275).

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

1345715856 is an frugal number, since it uses more digits than its factorization.

1345715856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 1024 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The cubic root of 1345715856 is about 1104.0391054201.

The spelling of 1345715856 in words is "one billion, three hundred forty-five million, seven hundred fifteen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1019 1296 2038 3057 4076 6114 8152 9171 12228 16304 18342 24456 27513 36684 48912 55026 73368 82539 110052 146736 165078 220104 330156 440208 660312 1038361 1320624 2076722 3115083 4153444 6230166 8306888 9345249 12460332 16613776 18690498 24920664 28035747 37380996 49841328 56071494 74761992 84107241 112142988 149523984 168214482 224285976 336428964 448571952 672857928 1345715856