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13368312 = 2332832237
BaseRepresentation
bin110010111111…
…101111111000
3221011011212200
4302333233320
511410241222
61154310200
7221425446
oct62775770
927134780
1013368312
1176008a1
124588360
132a00a59
141abdb96
151290eac
hexcbfbf8

13368312 has 48 divisors (see below), whose sum is σ = 36658440. Its totient is φ = 4400448.

The previous prime is 13368293. The next prime is 13368317. The reversal of 13368312 is 21386331.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13368317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4858 + ... + 7094.

Almost surely, 213368312 is an apocalyptic number.

13368312 is a gapful number since it is divisible by the number (12) 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 13368312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18329220).

13368312 is an abundant number, since it is smaller than the sum of its proper divisors (23290128).

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

13368312 is a wasteful number, since it uses less digits than its factorization.

13368312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2325 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 13368312 is about 3656.2702307133. The cubic root of 13368312 is about 237.3333982101. Note that the first 4 decimals are identical.

The spelling of 13368312 in words is "thirteen million, three hundred sixty-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 249 332 498 664 747 996 1494 1992 2237 2988 4474 5976 6711 8948 13422 17896 20133 26844 40266 53688 80532 161064 185671 371342 557013 742684 1114026 1485368 1671039 2228052 3342078 4456104 6684156 13368312