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23350320 = 24325741113
BaseRepresentation
bin101100100010…
…0110000110000
31121221022121200
41121010300300
521434202240
62152251200
7402321510
oct131046060
947838550
1023350320
11121a9494
1279a0b00
134ab7376
14315b840
1520b3930
hex1644c30

23350320 has 240 divisors, whose sum is σ = 92619072. Its totient is φ = 5160960.

The previous prime is 23350309. The next prime is 23350321. The reversal of 23350320 is 2305332.

23350320 = T340 + T341 + ... + T563.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23350293 and 23350302.

It is not an unprimeable number, because it can be changed into a prime (23350321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206584 + ... + 206696.

Almost surely, 223350320 is an apocalyptic number.

23350320 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 23350320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46309536).

23350320 is an abundant number, since it is smaller than the sum of its proper divisors (69268752).

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

23350320 is a wasteful number, since it uses less digits than its factorization.

23350320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 23350320 is about 4832.2168825499. The cubic root of 23350320 is about 285.8232888850.

Adding to 23350320 its reverse (2305332), we get a palindrome (25655652).

The spelling of 23350320 in words is "twenty-three million, three hundred fifty thousand, three hundred twenty".