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1353110340 = 223540156239
BaseRepresentation
bin101000010100110…
…1101001101000100
310111022010010102210
41100221231031010
510232344012330
6342133503420
745350151051
oct12051551504
93438103383
101353110340
1163488290a
123191a1b70
1318744200a
14cb9c8028
157dbd18b0
hex50a6d344

1353110340 has 48 divisors (see below), whose sum is σ = 3798224640. Its totient is φ = 359923200.

The previous prime is 1353110323. The next prime is 1353110347. The reversal of 1353110340 is 430113531.

It is not an unprimeable number, because it can be changed into a prime (1353110347) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4060 + ... + 52179.

It is an arithmetic number, because the mean of its divisors is an integer number (79129680).

Almost surely, 21353110340 is an apocalyptic number.

1353110340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1353110340 is an abundant number, since it is smaller than the sum of its proper divisors (2445114300).

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

1353110340 is a wasteful number, since it uses less digits than its factorization.

1353110340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56652 (or 56650 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 1353110340 is about 36784.6481565340. The cubic root of 1353110340 is about 1106.0575830551.

Adding to 1353110340 its reverse (430113531), we get a palindrome (1783223871).

It can be divided in two parts, 13531 and 10340, that added together give a triangular number (23871 = T218).

The spelling of 1353110340 in words is "one billion, three hundred fifty-three million, one hundred ten thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 401 802 1203 1604 2005 2406 4010 4812 6015 8020 12030 24060 56239 112478 168717 224956 281195 337434 562390 674868 843585 1124780 1687170 3374340 22551839 45103678 67655517 90207356 112759195 135311034 225518390 270622068 338277585 451036780 676555170 1353110340