Search a number
-
+
3325440352 = 251310179147
BaseRepresentation
bin1100011000110110…
…0011000101100000
322120202101212120111
43012031203011200
523302303042402
61305551421104
7145256530243
oct30615430540
98522355514
103325440352
111457140613
12789824794
1340cc4bab0
1423791d25a
15146e2a9d7
hexc6363160

3325440352 has 48 divisors (see below), whose sum is σ = 7120470672. Its totient is φ = 1519603200.

The previous prime is 3325440331. The next prime is 3325440403. The reversal of 3325440352 is 2530445233.

It is a super-2 number, since 2×33254403522 = 22117107069419767808, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2443 + ... + 81589.

It is an arithmetic number, because the mean of its divisors is an integer number (148343139).

Almost surely, 23325440352 is an apocalyptic number.

3325440352 is a gapful number since it is divisible by the number (32) 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 3325440352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3560235336).

3325440352 is an abundant number, since it is smaller than the sum of its proper divisors (3795030320).

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

3325440352 is a wasteful number, since it uses less digits than its factorization.

3325440352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79271 (or 79263 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 31.

The square root of 3325440352 is about 57666.6311830334. The cubic root of 3325440352 is about 1492.6215955334.

Adding to 3325440352 its reverse (2530445233), we get a palindrome (5855885585).

The spelling of 3325440352 in words is "three billion, three hundred twenty-five million, four hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 101 104 202 208 404 416 808 1313 1616 2626 3232 5252 10504 21008 42016 79147 158294 316588 633176 1028911 1266352 2057822 2532704 4115644 7993847 8231288 15987694 16462576 31975388 32925152 63950776 103920011 127901552 207840022 255803104 415680044 831360088 1662720176 3325440352