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10032304 = 241961541
BaseRepresentation
bin100110010001…
…010010110000
3200212200201211
4212101102300
510032013204
6555005504
7151162462
oct46212260
920780654
1010032304
115732467
123439894
132103499
141492132
15d32804
hex9914b0

10032304 has 40 divisors (see below), whose sum is σ = 20834480. Its totient is φ = 4665600.

The previous prime is 10032283. The next prime is 10032307. The reversal of 10032304 is 40323001.

It is not an unprimeable number, because it can be changed into a prime (10032307) 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, 18274 + ... + 18814.

It is an arithmetic number, because the mean of its divisors is an integer number (520862).

Almost surely, 210032304 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 10032304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10417240).

10032304 is an abundant number, since it is smaller than the sum of its proper divisors (10802176).

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

10032304 is a wasteful number, since it uses less digits than its factorization.

10032304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 10032304 is about 3167.3812527070. The cubic root of 10032304 is about 215.6752091716.

Adding to 10032304 its reverse (40323001), we get a palindrome (50355305).

The spelling of 10032304 in words is "ten million, thirty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 19 38 61 76 122 152 244 304 488 541 976 1082 1159 2164 2318 4328 4636 8656 9272 10279 18544 20558 33001 41116 66002 82232 132004 164464 264008 528016 627019 1254038 2508076 5016152 10032304