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1348716040 = 23574816843
BaseRepresentation
bin101000001100011…
…1100011000001000
310110222211212120221
41100120330120020
510230232403130
6341455355424
745264616510
oct12030743010
93428755527
101348716040
11632351361
12317822b74
13186563b39
14cb1a2840
157d61487a
hex5063c608

1348716040 has 32 divisors (see below), whose sum is σ = 3468127680. Its totient is φ = 462416832.

The previous prime is 1348716013. The next prime is 1348716041. The reversal of 1348716040 is 406178431.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1348715987 and 1348716005.

It is not an unprimeable number, because it can be changed into a prime (1348716041) 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 7 ways as a sum of consecutive naturals, for example, 2408142 + ... + 2408701.

It is an arithmetic number, because the mean of its divisors is an integer number (108378990).

Almost surely, 21348716040 is an apocalyptic number.

1348716040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1348716040 is an abundant number, since it is smaller than the sum of its proper divisors (2119411640).

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

1348716040 is a wasteful number, since it uses less digits than its factorization.

1348716040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4816861 (or 4816857 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 1348716040 is about 36724.8695028315. The cubic root of 1348716040 is about 1104.8589570394.

The spelling of 1348716040 in words is "one billion, three hundred forty-eight million, seven hundred sixteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 4816843 9633686 19267372 24084215 33717901 38534744 48168430 67435802 96336860 134871604 168589505 192673720 269743208 337179010 674358020 1348716040