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9925344 = 25321113241
BaseRepresentation
bin100101110111…
…001011100000
3200200021000100
4211313023200
510020102334
6552422400
7150235602
oct45671340
920607010
109925344
11566a070
1233a7a00
1320968b0
141465172
15d10c99
hex9772e0

9925344 has 144 divisors (see below), whose sum is σ = 33297264. Its totient is φ = 2764800.

The previous prime is 9925309. The next prime is 9925379. The reversal of 9925344 is 4435299.

9925344 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9925309) and next prime (9925379).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×99253443 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (38880) is a multiple of the sum of its prime divisors (270).

It is a junction number, because it is equal to n+sod(n) for n = 9925299 and 9925308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41064 + ... + 41304.

It is an arithmetic number, because the mean of its divisors is an integer number (231231).

Almost surely, 29925344 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 9925344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16648632).

9925344 is an abundant number, since it is smaller than the sum of its proper divisors (23371920).

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

9925344 is a wasteful number, since it uses less digits than its factorization.

9925344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 270 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 9925344 is about 3150.4513962288. The cubic root of 9925344 is about 214.9059909899.

It can be divided in two parts, 992 and 5344, that added together give a palindrome (6336).

The spelling of 9925344 in words is "nine million, nine hundred twenty-five thousand, three hundred forty-four".