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3243120444 = 223413773063
BaseRepresentation
bin1100000101001110…
…0001011100111100
322101000111120220000
43001103201130330
523120214323234
61253451154300
7143240032434
oct30123413474
98330446800
103243120444
111414725433
12766145990
133c8b887a5
1422aa112c4
1513eab9899
hexc14e173c

3243120444 has 60 divisors (see below), whose sum is σ = 8540158704. Its totient is φ = 1073134656.

The previous prime is 3243120427. The next prime is 3243120467. The reversal of 3243120444 is 4440213423.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7857 + ... + 80919.

Almost surely, 23243120444 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 3243120444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4270079352).

3243120444 is an abundant number, since it is smaller than the sum of its proper divisors (5297038260).

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

3243120444 is a wasteful number, since it uses less digits than its factorization.

3243120444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73216 (or 73205 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 3243120444 is about 56948.4015930210. The cubic root of 3243120444 is about 1480.2021339453.

Adding to 3243120444 its reverse (4440213423), we get a palindrome (7683333867).

The spelling of 3243120444 in words is "three billion, two hundred forty-three million, one hundred twenty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 137 162 274 324 411 548 822 1233 1644 2466 3699 4932 7398 11097 14796 22194 44388 73063 146126 219189 292252 438378 657567 876756 1315134 1972701 2630268 3945402 5918103 7890804 10009631 11836206 20019262 23672412 30028893 40038524 60057786 90086679 120115572 180173358 270260037 360346716 540520074 810780111 1081040148 1621560222 3243120444