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12330304 = 267171619
BaseRepresentation
bin101111000010…
…010101000000
3212012102222221
4233002111000
511124032204
61120140424
7206543260
oct57022500
925172887
1012330304
116a61a38
124167714
13272944c
1418cd7a0
151138654
hexbc2540

12330304 has 56 divisors (see below), whose sum is σ = 29626560. Its totient is φ = 4970496.

The previous prime is 12330301. The next prime is 12330313. The reversal of 12330304 is 40303321.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12330301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6807 + ... + 8425.

Almost surely, 212330304 is an apocalyptic number.

12330304 is a gapful number since it is divisible by the number (14) 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 12330304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14813280).

12330304 is an abundant number, since it is smaller than the sum of its proper divisors (17296256).

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

12330304 is a wasteful number, since it uses less digits than its factorization.

12330304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 12330304 is about 3511.4532604037. The cubic root of 12330304 is about 231.0244409838.

Adding to 12330304 its reverse (40303321), we get a palindrome (52633625).

The spelling of 12330304 in words is "twelve million, three hundred thirty thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 448 476 544 952 1088 1619 1904 3238 3808 6476 7616 11333 12952 22666 25904 27523 45332 51808 55046 90664 103616 110092 181328 192661 220184 362656 385322 440368 725312 770644 880736 1541288 1761472 3082576 6165152 12330304