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4332996 = 2232373253
BaseRepresentation
bin10000100001110111000100
322011010202100
4100201313010
52102123441
6232512100
751554433
oct20416704
98133670
104332996
11249a498
12154b630
13b89305
1480b11a
155a8cb6
hex421dc4

4332996 has 36 divisors (see below), whose sum is σ = 11252332. Its totient is φ = 1404864.

The previous prime is 4332973. The next prime is 4332997. The reversal of 4332996 is 6992334.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4161600 + 171396 = 2040^2 + 414^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

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

It is a d-powerful number, because it can be written as 411 + 35 + 38 + 217 + 92 + 93 + 6 .

It is a self number, because there is not a number n which added to its sum of digits gives 4332996.

It is not an unprimeable number, because it can be changed into a prime (4332997) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 295 + ... + 2958.

Almost surely, 24332996 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 4332996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5626166).

4332996 is an abundant number, since it is smaller than the sum of its proper divisors (6919336).

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

4332996 is a wasteful number, since it uses less digits than its factorization.

4332996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3300 (or 3295 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 4332996 is about 2081.5849730434. The cubic root of 4332996 is about 163.0282109577.

The spelling of 4332996 in words is "four million, three hundred thirty-two thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 3253 6506 9759 13012 19518 29277 39036 58554 117108 120361 240722 361083 481444 722166 1083249 1444332 2166498 4332996