Search a number
-
+
2428323348 = 22311219234389
BaseRepresentation
bin1001000010111101…
…0100011000010100
320021020022121101210
42100233110120110
514433122321343
61040543221420
7114114256623
oct22057243024
96236277353
102428323348
1110367a8300
125792a7870
132c9124729
141907136ba
15e32bd333
hex90bd4614

2428323348 has 288 divisors, whose sum is σ = 7078579200. Its totient is φ = 643991040.

The previous prime is 2428323347. The next prime is 2428323383. The reversal of 2428323348 is 8433238242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2428323343) 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 95 ways as a sum of consecutive naturals, for example, 27284488 + ... + 27284576.

It is an arithmetic number, because the mean of its divisors is an integer number (24578400).

Almost surely, 22428323348 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 2428323348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3539289600).

2428323348 is an abundant number, since it is smaller than the sum of its proper divisors (4650255852).

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

2428323348 is a wasteful number, since it uses less digits than its factorization.

2428323348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 190 counting only the distinct ones).

The product of its digits is 221184, while the sum is 39.

The square root of 2428323348 is about 49278.0209424039. The cubic root of 2428323348 is about 1344.1121447487.

The spelling of 2428323348 in words is "two billion, four hundred twenty-eight million, three hundred twenty-three thousand, three hundred forty-eight".