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23125344 = 2531161359
BaseRepresentation
bin101100000110…
…1110101100000
31121111220000020
41120031311200
521410002334
62143353440
7400363554
oct130156540
947456006
1023125344
1112065460
1278b2880
134a38b48
1430dd864
15206be49
hex160dd60

23125344 has 96 divisors (see below), whose sum is σ = 67495680. Its totient is φ = 6873600.

The previous prime is 23125343. The next prime is 23125351. The reversal of 23125344 is 44352132.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23125343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64237 + ... + 64595.

It is an arithmetic number, because the mean of its divisors is an integer number (703080).

Almost surely, 223125344 is an apocalyptic number.

23125344 is a gapful number since it is divisible by the number (24) 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 23125344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33747840).

23125344 is an abundant number, since it is smaller than the sum of its proper divisors (44370336).

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

23125344 is a wasteful number, since it uses less digits than its factorization.

23125344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 436 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 23125344 is about 4808.8817827017. The cubic root of 23125344 is about 284.9023734563.

Adding to 23125344 its reverse (44352132), we get a palindrome (67477476).

The spelling of 23125344 in words is "twenty-three million, one hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 61 66 88 96 122 132 176 183 244 264 352 359 366 488 528 671 718 732 976 1056 1077 1342 1436 1464 1952 2013 2154 2684 2872 2928 3949 4026 4308 5368 5744 5856 7898 8052 8616 10736 11488 11847 15796 16104 17232 21472 21899 23694 31592 32208 34464 43798 47388 63184 64416 65697 87596 94776 126368 131394 175192 189552 240889 262788 350384 379104 481778 525576 700768 722667 963556 1051152 1445334 1927112 2102304 2890668 3854224 5781336 7708448 11562672 23125344