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3385536 = 263711229
BaseRepresentation
bin1100111010100011000000
320101000002020
430322203000
51331314121
6200321440
740530240
oct14724300
96330066
103385536
111a02670
121173280
13916c9b
14641b20
1546d1c6
hex33a8c0

3385536 has 112 divisors (see below), whose sum is σ = 11216640. Its totient is φ = 875520.

The previous prime is 3385517. The next prime is 3385559. The reversal of 3385536 is 6355833.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×33855362 = 22923708014592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 3385497 and 3385506.

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, 14670 + ... + 14898.

Almost surely, 23385536 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 3385536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5608320).

3385536 is an abundant number, since it is smaller than the sum of its proper divisors (7831104).

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

3385536 is a wasteful number, since it uses less digits than its factorization.

3385536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 252 counting only the distinct ones).

The product of its digits is 32400, while the sum is 33.

The square root of 3385536 is about 1839.9826086135. The cubic root of 3385536 is about 150.1559267451.

The spelling of 3385536 in words is "three million, three hundred eighty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 229 231 264 308 336 352 448 458 462 528 616 672 687 704 916 924 1056 1232 1344 1374 1603 1832 1848 2112 2464 2519 2748 3206 3664 3696 4809 4928 5038 5496 6412 7328 7392 7557 9618 10076 10992 12824 14656 14784 15114 17633 19236 20152 21984 25648 30228 35266 38472 40304 43968 51296 52899 60456 70532 76944 80608 102592 105798 120912 141064 153888 161216 211596 241824 282128 307776 423192 483648 564256 846384 1128512 1692768 3385536