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3630996 = 2232172349
BaseRepresentation
bin1101110110011110010100
320211110210100
431312132110
51412142441
6205454100
742601665
oct15663624
96743710
103630996
112060026
121271330
139a1925
146a736c
154bacb6
hex376794

3630996 has 54 divisors (see below), whose sum is σ = 9777950. Its totient is φ = 1135872.

The previous prime is 3630983. The next prime is 3630997. The reversal of 3630996 is 6990363.

It can be written as a sum of positive squares in 3 ways, for example, as 1904400 + 1726596 = 1380^2 + 1314^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3630996.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3630997) 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 17 ways as a sum of consecutive naturals, for example, 10230 + ... + 10578.

Almost surely, 23630996 is an apocalyptic number.

3630996 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 3630996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4888975).

3630996 is an abundant number, since it is smaller than the sum of its proper divisors (6146954).

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

3630996 is a wasteful number, since it uses less digits than its factorization.

3630996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 3630996 is about 1905.5172526115. The cubic root of 3630996 is about 153.7004916941.

The spelling of 3630996 in words is "three million, six hundred thirty thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 349 578 612 698 867 1047 1156 1396 1734 2094 2601 3141 3468 4188 5202 5933 6282 10404 11866 12564 17799 23732 35598 53397 71196 100861 106794 201722 213588 302583 403444 605166 907749 1210332 1815498 3630996