Search a number
-
+
23933340 = 22335234147
BaseRepresentation
bin101101101001…
…1000110011100
31200000221101000
41123103012130
522111331330
62212550300
7410300334
oct133230634
950027330
1023933340
1112567522
128022390
134c5c852
1432700c4
15217b560
hex16d319c

23933340 has 192 divisors, whose sum is σ = 81285120. Its totient is φ = 5829120.

The previous prime is 23933321. The next prime is 23933341. The reversal of 23933340 is 4333932.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23933341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 509197 + ... + 509243.

It is an arithmetic number, because the mean of its divisors is an integer number (423360).

Almost surely, 223933340 is an apocalyptic number.

23933340 is a gapful number since it is divisible by the number (20) 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 23933340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40642560).

23933340 is an abundant number, since it is smaller than the sum of its proper divisors (57351780).

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

23933340 is a wasteful number, since it uses less digits than its factorization.

23933340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 23933340 is about 4892.1712970827. The cubic root of 23933340 is about 288.1826098840.

The spelling of 23933340 in words is "twenty-three million, nine hundred thirty-three thousand, three hundred forty".