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23740416 = 21432723
BaseRepresentation
bin101101010010…
…0000000000000
31122200010201200
41122210000000
522034143131
62204501200
7405535020
oct132440000
948603650
1023740416
1112445587
127b4a800
134bc2aab
14321da80
15213e2e6
hex16a4000

23740416 has 180 divisors, whose sum is σ = 81786432. Its totient is φ = 6488064.

The previous prime is 23740373. The next prime is 23740417. The reversal of 23740416 is 61404732.

It is a self number, because there is not a number n which added to its sum of digits gives 23740416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23740417) 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, 1032181 + ... + 1032203.

Almost surely, 223740416 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 23740416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40893216).

23740416 is an abundant number, since it is smaller than the sum of its proper divisors (58046016).

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

23740416 is an equidigital number, since it uses as much as digits as its factorization.

23740416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 23740416 is about 4872.4137755326. The cubic root of 23740416 is about 287.4061838823.

Subtracting from 23740416 its product of nonzero digits (4032), we obtain a square (23736384 = 48722).

The spelling of 23740416 in words is "twenty-three million, seven hundred forty thousand, four hundred sixteen".