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1348963040 = 25572711597
BaseRepresentation
bin101000001100111…
…1000101011100000
310111000022102102002
41100121320223200
510230313304130
6341504543132
745266665565
oct12031705340
93430272362
101348963040
116324aa997
12317921aa8
1318661c3a9
14cb22886c
157d662b45
hex50678ae0

1348963040 has 48 divisors (see below), whose sum is σ = 3191584032. Its totient is φ = 538796544.

The previous prime is 1348963013. The next prime is 1348963051. The reversal of 1348963040 is 403698431.

It is a junction number, because it is equal to n+sod(n) for n = 1348962985 and 1348963003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110522 + ... + 122118.

It is an arithmetic number, because the mean of its divisors is an integer number (66491334).

Almost surely, 21348963040 is an apocalyptic number.

1348963040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1348963040 is an abundant number, since it is smaller than the sum of its proper divisors (1842620992).

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

1348963040 is a wasteful number, since it uses less digits than its factorization.

1348963040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12339 (or 12331 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 1348963040 is about 36728.2321926880. The cubic root of 1348963040 is about 1104.9263998261.

The spelling of 1348963040 in words is "one billion, three hundred forty-eight million, nine hundred sixty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 727 1454 2908 3635 5816 7270 11597 11632 14540 23194 23264 29080 46388 57985 58160 92776 115970 116320 185552 231940 371104 463880 927760 1855520 8431019 16862038 33724076 42155095 67448152 84310190 134896304 168620380 269792608 337240760 674481520 1348963040