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23410968 = 2337331421
BaseRepresentation
bin101100101001…
…1100100011000
31122001101210220
41121103210120
521443122333
62153440040
7402663360
oct131234430
948041726
1023410968
1112240009
127a10020
134b08b59
1431759a0
1520c68b3
hex1653918

23410968 has 64 divisors (see below), whose sum is σ = 67249920. Its totient is φ = 6652800.

The previous prime is 23410949. The next prime is 23410969. The reversal of 23410968 is 86901432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23410969) 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 15 ways as a sum of consecutive naturals, for example, 55398 + ... + 55818.

It is an arithmetic number, because the mean of its divisors is an integer number (1050780).

Almost surely, 223410968 is an apocalyptic number.

23410968 is a gapful number since it is divisible by the number (28) 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 23410968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33624960).

23410968 is an abundant number, since it is smaller than the sum of its proper divisors (43838952).

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

23410968 is a wasteful number, since it uses less digits than its factorization.

23410968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 23410968 is about 4838.4881936407. The cubic root of 23410968 is about 286.0705321014.

The spelling of 23410968 in words is "twenty-three million, four hundred ten thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 331 421 662 842 993 1263 1324 1684 1986 2317 2526 2648 2947 3368 3972 4634 5052 5894 6951 7944 8841 9268 10104 11788 13902 17682 18536 23576 27804 35364 55608 70728 139351 278702 418053 557404 836106 975457 1114808 1672212 1950914 2926371 3344424 3901828 5852742 7803656 11705484 23410968