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10340304 = 2431373227
BaseRepresentation
bin100111011100…
…011111010000
3201110100020020
4213130133100
510121342204
61005343440
7153614442
oct47343720
921410206
1010340304
115922907
123567b80
1321b0730
141532492
15d93bd9
hex9dc7d0

10340304 has 80 divisors (see below), whose sum is σ = 29289792. Its totient is φ = 3124224.

The previous prime is 10340299. The next prime is 10340321. The reversal of 10340304 is 40304301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45439 + ... + 45665.

Almost surely, 210340304 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 10340304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14644896).

10340304 is an abundant number, since it is smaller than the sum of its proper divisors (18949488).

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

10340304 is a wasteful number, since it uses less digits than its factorization.

10340304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 10340304 is about 3215.6343075667. The cubic root of 10340304 is about 217.8601352937.

Adding to 10340304 its reverse (40304301), we get a palindrome (50644605).

The spelling of 10340304 in words is "ten million, three hundred forty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 73 78 104 146 156 208 219 227 292 312 438 454 584 624 681 876 908 949 1168 1362 1752 1816 1898 2724 2847 2951 3504 3632 3796 5448 5694 5902 7592 8853 10896 11388 11804 15184 16571 17706 22776 23608 33142 35412 45552 47216 49713 66284 70824 99426 132568 141648 198852 215423 265136 397704 430846 646269 795408 861692 1292538 1723384 2585076 3446768 5170152 10340304