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23363064 = 23321312477
BaseRepresentation
bin101100100011…
…1110111111000
31121221222002200
41121013313320
521440104224
62152430200
7402403614
oct131076770
947858080
1023363064
111220801a
1279a8360
134ac00ca
143162344
1520b75c9
hex1647df8

23363064 has 48 divisors (see below), whose sum is σ = 63783720. Its totient is φ = 7725120.

The previous prime is 23363059. The next prime is 23363069. The reversal of 23363064 is 46036332.

23363064 is a `hidden beast` number, since 23 + 3 + 630 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (23363059) and next prime (23363069).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23363069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8194 + ... + 10670.

Almost surely, 223363064 is an apocalyptic number.

23363064 is a gapful number since it is divisible by the number (24) 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 23363064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31891860).

23363064 is an abundant number, since it is smaller than the sum of its proper divisors (40420656).

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

23363064 is a wasteful number, since it uses less digits than its factorization.

23363064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2620 (or 2613 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 23363064 is about 4833.5353521000. The cubic root of 23363064 is about 285.8752777446.

Adding to 23363064 its reverse (46036332), we get a palindrome (69399396).

The spelling of 23363064 in words is "twenty-three million, three hundred sixty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 131 262 393 524 786 1048 1179 1572 2358 2477 3144 4716 4954 7431 9432 9908 14862 19816 22293 29724 44586 59448 89172 178344 324487 648974 973461 1297948 1946922 2595896 2920383 3893844 5840766 7787688 11681532 23363064