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2009304 = 2332114359
BaseRepresentation
bin111101010100011011000
310210002020200
413222203120
51003244204
6111022200
723036013
oct7524330
93702220
102009304
111152690
1280a960
1355474b
143a437a
1529a539
hex1ea8d8

2009304 has 96 divisors (see below), whose sum is σ = 6177600. Its totient is φ = 584640.

The previous prime is 2009299. The next prime is 2009311. The reversal of 2009304 is 4039002.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34027 + ... + 34085.

It is an arithmetic number, because the mean of its divisors is an integer number (64350).

22009304 is an apocalyptic number.

2009304 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 2009304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3088800).

2009304 is an abundant number, since it is smaller than the sum of its proper divisors (4168296).

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

2009304 is a wasteful number, since it uses less digits than its factorization.

2009304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2009304 is about 1417.4992063490. The cubic root of 2009304 is about 126.1871745710.

2009304 divided by its sum of digits (18) gives a triangular number (111628 = T472).

The spelling of 2009304 in words is "two million, nine thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 43 44 59 66 72 86 88 99 118 129 132 172 177 198 236 258 264 344 354 387 396 472 473 516 531 649 708 774 792 946 1032 1062 1298 1416 1419 1548 1892 1947 2124 2537 2596 2838 3096 3784 3894 4248 4257 5074 5192 5676 5841 7611 7788 8514 10148 11352 11682 15222 15576 17028 20296 22833 23364 27907 30444 34056 45666 46728 55814 60888 83721 91332 111628 167442 182664 223256 251163 334884 502326 669768 1004652 2009304