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23345742 = 2373783181
BaseRepresentation
bin101100100001…
…1101001001110
31121221002100010
41121003221032
521434030432
62152214050
7402302250
oct131035116
947832303
1023345742
11121a6002
12799a326
134ab5264
143159cd0
1520b23cc
hex1643a4e

23345742 has 64 divisors (see below), whose sum is σ = 55770624. Its totient is φ = 6376320.

The previous prime is 23345719. The next prime is 23345747. The reversal of 23345742 is 24754332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23345747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128892 + ... + 129072.

It is an arithmetic number, because the mean of its divisors is an integer number (871416).

Almost surely, 223345742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23345742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27885312).

23345742 is an abundant number, since it is smaller than the sum of its proper divisors (32424882).

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

23345742 is a wasteful number, since it uses less digits than its factorization.

23345742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313.

The product of its digits is 20160, while the sum is 30.

The square root of 23345742 is about 4831.7431637040. The cubic root of 23345742 is about 285.8046084195.

The spelling of 23345742 in words is "twenty-three million, three hundred forty-five thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 14 21 37 42 74 83 111 166 181 222 249 259 362 498 518 543 581 777 1086 1162 1267 1554 1743 2534 3071 3486 3801 6142 6697 7602 9213 13394 15023 18426 20091 21497 30046 40182 42994 45069 46879 64491 90138 93758 105161 128982 140637 210322 281274 315483 555851 630966 1111702 1667553 3335106 3890957 7781914 11672871 23345742