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3003696 = 243317409
BaseRepresentation
bin1011011101010100110000
312122121022000
423131110300
51232104241
6144214000
734350063
oct13352460
95577260
103003696
1117717a3
12100a300
13812247
145828da
153e4eb6
hex2dd530

3003696 has 80 divisors (see below), whose sum is σ = 9151200. Its totient is φ = 940032.

The previous prime is 3003673. The next prime is 3003703. The reversal of 3003696 is 6963003.

3003696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 7140 + ... + 7548.

It is an arithmetic number, because the mean of its divisors is an integer number (114390).

Almost surely, 23003696 is an apocalyptic number.

3003696 is a gapful number since it is divisible by the number (36) 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 3003696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4575600).

3003696 is an abundant number, since it is smaller than the sum of its proper divisors (6147504).

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

3003696 is a wasteful number, since it uses less digits than its factorization.

3003696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 3003696 is about 1733.1174224501. The cubic root of 3003696 is about 144.2841611066.

Adding to 3003696 its reverse (6963003), we get a palindrome (9966699).

The spelling of 3003696 in words is "three million, three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 409 432 459 612 816 818 918 1224 1227 1636 1836 2448 2454 3272 3672 3681 4908 6544 6953 7344 7362 9816 11043 13906 14724 19632 20859 22086 27812 29448 41718 44172 55624 58896 62577 83436 88344 111248 125154 166872 176688 187731 250308 333744 375462 500616 750924 1001232 1501848 3003696