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23305104 = 243373739
BaseRepresentation
bin101100011100…
…1101110010000
31121212000121000
41120321232100
521431230404
62151302000
7402042624
oct130715620
947760530
1023305104
1112178519
12797a900
134a9c904
143149184
1520a5339
hex1639b90

23305104 has 80 divisors (see below), whose sum is σ = 67902400. Its totient is φ = 7651584.

The previous prime is 23305081. The next prime is 23305127. The reversal of 23305104 is 40150332.

It is an interprime number because it is at equal distance from previous prime (23305081) and next prime (23305127).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31167 + ... + 31905.

It is an arithmetic number, because the mean of its divisors is an integer number (848780).

Almost surely, 223305104 is an apocalyptic number.

23305104 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 23305104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33951200).

23305104 is an abundant number, since it is smaller than the sum of its proper divisors (44597296).

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

23305104 is a wasteful number, since it uses less digits than its factorization.

23305104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 23305104 is about 4827.5360174731. The cubic root of 23305104 is about 285.6386784704.

Adding to 23305104 its reverse (40150332), we get a palindrome (63455436).

It can be divided in two parts, 23305 and 104, that added together give a square (23409 = 1532).

The spelling of 23305104 in words is "twenty-three million, three hundred five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 73 108 144 146 216 219 292 432 438 584 657 739 876 1168 1314 1478 1752 1971 2217 2628 2956 3504 3942 4434 5256 5912 6651 7884 8868 10512 11824 13302 15768 17736 19953 26604 31536 35472 39906 53208 53947 79812 106416 107894 159624 161841 215788 319248 323682 431576 485523 647364 863152 971046 1294728 1456569 1942092 2589456 2913138 3884184 5826276 7768368 11652552 23305104