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23406240 = 25351121331
BaseRepresentation
bin101100101001…
…0011010100000
31122001011022210
41121102122200
521442444430
62153402120
7402643524
oct131223240
948034283
1023406240
1112237500
127a09340
134b06960
143173d84
1520c52b0
hex16526a0

23406240 has 288 divisors, whose sum is σ = 90091008. Its totient is φ = 5068800.

The previous prime is 23406221. The next prime is 23406259. The reversal of 23406240 is 4260432.

It is an interprime number because it is at equal distance from previous prime (23406221) and next prime (23406259).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 755025 + ... + 755055.

It is an arithmetic number, because the mean of its divisors is an integer number (312816).

Almost surely, 223406240 is an apocalyptic number.

23406240 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 23406240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45045504).

23406240 is an abundant number, since it is smaller than the sum of its proper divisors (66684768).

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

23406240 is a wasteful number, since it uses less digits than its factorization.

23406240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 23406240 is about 4837.9995866060. Note that the first 3 decimals coincide. The cubic root of 23406240 is about 286.0512728588.

Adding to 23406240 its reverse (4260432), we get a palindrome (27666672).

The spelling of 23406240 in words is "twenty-three million, four hundred six thousand, two hundred forty".