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23258340 = 2234572293
BaseRepresentation
bin101100010111…
…0010011100100
31121202122110000
41120232103210
521423231330
62150301300
7401456400
oct130562344
947678400
1023258340
1112146376
127957830
134a84541
143136100
152096560
hex162e4e4

23258340 has 180 divisors, whose sum is σ = 85164156. Its totient is φ = 5298048.

The previous prime is 23258321. The next prime is 23258341. The reversal of 23258340 is 4385232.

It can be written as a sum of positive squares in 2 ways, for example, as 16257024 + 7001316 = 4032^2 + 2646^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (23258341) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 79234 + ... + 79526.

Almost surely, 223258340 is an apocalyptic number.

23258340 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 23258340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42582078).

23258340 is an abundant number, since it is smaller than the sum of its proper divisors (61905816).

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

23258340 is a wasteful number, since it uses less digits than its factorization.

23258340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 23258340 is about 4822.6901206692. The cubic root of 23258340 is about 285.4474964359.

The spelling of 23258340 in words is "twenty-three million, two hundred fifty-eight thousand, three hundred forty".