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23341968 = 24321337337
BaseRepresentation
bin101100100001…
…0101110010000
31121220220011100
41121002232100
521433420333
62152144400
7402255246
oct131025620
947826140
1023341968
11121a3191
127998100
134ab3620
143158796
1520b1213
hex1642b90

23341968 has 120 divisors (see below), whose sum is σ = 72465848. Its totient is φ = 6967296.

The previous prime is 23341961. The next prime is 23342017. The reversal of 23341968 is 86914332.

23341968 is a `hidden beast` number, since 233 + 419 + 6 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2108304 + 21233664 = 1452^2 + 4608^2 .

It is a super-2 number, since 2×233419682 = 1089694940226048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (23341961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69096 + ... + 69432.

Almost surely, 223341968 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 23341968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36232924).

23341968 is an abundant number, since it is smaller than the sum of its proper divisors (49123880).

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

23341968 is a wasteful number, since it uses less digits than its factorization.

23341968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 392 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 23341968 is about 4831.3526056375. The cubic root of 23341968 is about 285.7892068284.

The spelling of 23341968 in words is "twenty-three million, three hundred forty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 37 39 48 52 72 74 78 104 111 117 144 148 156 208 222 234 296 312 333 337 444 468 481 592 624 666 674 888 936 962 1011 1332 1348 1443 1776 1872 1924 2022 2664 2696 2886 3033 3848 4044 4329 4381 5328 5392 5772 6066 7696 8088 8658 8762 11544 12132 12469 13143 16176 17316 17524 23088 24264 24938 26286 34632 35048 37407 39429 48528 49876 52572 69264 70096 74814 78858 99752 105144 112221 149628 157716 162097 199504 210288 224442 299256 315432 324194 448884 486291 598512 630864 648388 897768 972582 1296776 1458873 1795536 1945164 2593552 2917746 3890328 5835492 7780656 11670984 23341968