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2730336 = 253717239
BaseRepresentation
bin1010011010100101100000
312010201022120
422122211200
51144332321
6134304240
732131110
oct12324540
95121276
102730336
1115a5384
12ab8080
137479ab
14511040
1538dec6
hex29a960

2730336 has 96 divisors (see below), whose sum is σ = 8709120. Its totient is φ = 731136.

The previous prime is 2730271. The next prime is 2730347. The reversal of 2730336 is 6330372.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11305 + ... + 11543.

It is an arithmetic number, because the mean of its divisors is an integer number (90720).

22730336 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 2730336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354560).

2730336 is an abundant number, since it is smaller than the sum of its proper divisors (5978784).

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

2730336 is a wasteful number, since it uses less digits than its factorization.

2730336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 24.

The square root of 2730336 is about 1652.3728392830. The cubic root of 2730336 is about 139.7672322562.

The spelling of 2730336 in words is "two million, seven hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 239 272 336 357 408 476 478 544 672 714 717 816 952 956 1428 1434 1632 1673 1904 1912 2856 2868 3346 3808 3824 4063 5019 5712 5736 6692 7648 8126 10038 11424 11472 12189 13384 16252 20076 22944 24378 26768 28441 32504 40152 48756 53536 56882 65008 80304 85323 97512 113764 130016 160608 170646 195024 227528 341292 390048 455056 682584 910112 1365168 2730336