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23403030432 = 25337113199293
BaseRepresentation
bin10101110010111011…
…011110011110100000
32020101222221010101220
4111302323132132200
5340412133433212
614430132055040
71455643322265
oct256273363640
966358833356
1023403030432
119a1a445171
124651764480
13228c721c02
1411c024126c
1591e8c138c
hex572ede7a0

23403030432 has 192 divisors, whose sum is σ = 64189843200. Its totient is φ = 7459651584.

The previous prime is 23403030419. The next prime is 23403030439.

23403030432 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×234030304323 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (23403030439) 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, 79873678 + ... + 79873970.

It is an arithmetic number, because the mean of its divisors is an integer number (334322100).

Almost surely, 223403030432 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 23403030432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32094921600).

23403030432 is an abundant number, since it is smaller than the sum of its proper divisors (40786812768).

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

23403030432 is a wasteful number, since it uses less digits than its factorization.

23403030432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

It can be divided in two parts, 234030 and 30432, that added together give a palindrome (264462).

The spelling of 23403030432 in words is "twenty-three billion, four hundred three million, thirty thousand, four hundred thirty-two".