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13342368 = 2531310691
BaseRepresentation
bin110010111001…
…011010100000
3221002212021210
4302321122200
511403423433
61153550120
7221260014
oct62713240
927085253
1013342368
117593356
124575340
1329c1cc0
141ab4544
151288463
hexcb96a0

13342368 has 48 divisors (see below), whose sum is σ = 37721376. Its totient is φ = 4104960.

The previous prime is 13342361. The next prime is 13342387. The reversal of 13342368 is 86324331.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13342361) 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, 4098 + ... + 6593.

It is an arithmetic number, because the mean of its divisors is an integer number (785862).

Almost surely, 213342368 is an apocalyptic number.

It is an amenable number.

13342368 is an abundant number, since it is smaller than the sum of its proper divisors (24379008).

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

13342368 is a wasteful number, since it uses less digits than its factorization.

13342368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10717 (or 10709 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 13342368 is about 3652.7206298867. The cubic root of 13342368 is about 237.1797671157.

Adding to 13342368 its reverse (86324331), we get a palindrome (99666699).

The spelling of 13342368 in words is "thirteen million, three hundred forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 10691 21382 32073 42764 64146 85528 128292 138983 171056 256584 277966 342112 416949 513168 555932 833898 1026336 1111864 1667796 2223728 3335592 4447456 6671184 13342368