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12341968 = 2431149167
BaseRepresentation
bin101111000101…
…001011010000
3212020000222221
4233011023100
511124420333
61120310424
7206622262
oct57051320
925200887
1012341968
116a6a781
124172414
132731852
1418d3b32
15113bd2d
hexbc52d0

12341968 has 40 divisors (see below), whose sum is σ = 24998400. Its totient is φ = 5896320.

The previous prime is 12341957. The next prime is 12341971. The reversal of 12341968 is 86914321.

It is a super-2 number, since 2×123419682 = 304648348226048, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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, 73821 + ... + 73987.

It is an arithmetic number, because the mean of its divisors is an integer number (624960).

Almost surely, 212341968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12341968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12499200).

12341968 is an abundant number, since it is smaller than the sum of its proper divisors (12656432).

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

12341968 is a wasteful number, since it uses less digits than its factorization.

12341968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 349 counting only the distinct ones).

The product of its digits is 10368, while the sum is 34.

The square root of 12341968 is about 3513.1137186263. The cubic root of 12341968 is about 231.0972648126.

The spelling of 12341968 in words is "twelve million, three hundred forty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 31 62 124 149 167 248 298 334 496 596 668 1192 1336 2384 2672 4619 5177 9238 10354 18476 20708 24883 36952 41416 49766 73904 82832 99532 199064 398128 771373 1542746 3085492 6170984 12341968