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3363444 = 223471483
BaseRepresentation
bin1100110101001001110100
320022212210000
430311021310
51330112234
6200031300
740405650
oct14651164
96285700
103363444
111998007
121162530
13909c06
14637a60
15466899
hex335274

3363444 has 60 divisors (see below), whose sum is σ = 10055584. Its totient is φ = 960336.

The previous prime is 3363443. The next prime is 3363457. The reversal of 3363444 is 4443633.

3363444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33634442 = 22625511082272, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3363443) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 1527 + ... + 3009.

Almost surely, 23363444 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 3363444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5027792).

3363444 is an abundant number, since it is smaller than the sum of its proper divisors (6692140).

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

3363444 is a wasteful number, since it uses less digits than its factorization.

3363444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1495 counting only the distinct ones).

The product of its digits is 10368, while the sum is 27.

The square root of 3363444 is about 1833.9694653947. The cubic root of 3363444 is about 149.8286042312.

The spelling of 3363444 in words is "three million, three hundred sixty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 1483 2268 2966 4449 5932 8898 10381 13347 17796 20762 26694 31143 40041 41524 53388 62286 80082 93429 120123 124572 160164 186858 240246 280287 373716 480492 560574 840861 1121148 1681722 3363444