Search a number
-
+
13342320 = 243452971
BaseRepresentation
bin110010111001…
…011001110000
3221002212020000
4302321121300
511403423240
61153550000
7221256615
oct62713160
927085200
1013342320
117593312
124575300
1329c1c84
141ab450c
151288430
hexcb9670

13342320 has 200 divisors, whose sum is σ = 48612960. Its totient is φ = 3386880.

The previous prime is 13342309. The next prime is 13342337. The reversal of 13342320 is 2324331.

13342320 is a `hidden beast` number, since 1 + 3 + 342 + 320 = 666.

13342320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13342293 and 13342302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 187885 + ... + 187955.

Almost surely, 213342320 is an apocalyptic number.

13342320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13342320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24306480).

13342320 is an abundant number, since it is smaller than the sum of its proper divisors (35270640).

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

13342320 is a wasteful number, since it uses less digits than its factorization.

13342320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 13342320 is about 3652.7140594358. The cubic root of 13342320 is about 237.1794826923.

Adding to 13342320 its reverse (2324331), we get a palindrome (15666651).

The spelling of 13342320 in words is "thirteen million, three hundred forty-two thousand, three hundred twenty".