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10334904 = 2332931479
BaseRepresentation
bin100111011011…
…001010111000
3201110001211020
4213123022320
510121204104
61005302440
7153562626
oct47331270
921401736
1010334904
115919848
123564a20
1321ab138
141530516
15d922d9
hex9db2b8

10334904 has 64 divisors (see below), whose sum is σ = 27648000. Its totient is φ = 3212160.

The previous prime is 10334903. The next prime is 10334927. The reversal of 10334904 is 40943301.

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 (10334903) by changing a digit.

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, 21337 + ... + 21815.

It is an arithmetic number, because the mean of its divisors is an integer number (432000).

Almost surely, 210334904 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 10334904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13824000).

10334904 is an abundant number, since it is smaller than the sum of its proper divisors (17313096).

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

10334904 is a wasteful number, since it uses less digits than its factorization.

10334904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 10334904 is about 3214.7945502007. The cubic root of 10334904 is about 217.8222044431.

The spelling of 10334904 in words is "ten million, three hundred thirty-four thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 24 29 31 58 62 87 93 116 124 174 186 232 248 348 372 479 696 744 899 958 1437 1798 1916 2697 2874 3596 3832 5394 5748 7192 10788 11496 13891 14849 21576 27782 29698 41673 44547 55564 59396 83346 89094 111128 118792 166692 178188 333384 356376 430621 861242 1291863 1722484 2583726 3444968 5167452 10334904