Search a number
-
+
2442046320 = 24345727691
BaseRepresentation
bin1001000110001110…
…1010101101110000
320022012010210210000
42101203222231300
520000130440240
61042153310000
7114342023400
oct22143525560
96265123700
102442046320
1110435205aa
12581a05300
132cbc1aa2c
14192486800
15e45ce430
hex918eab70

2442046320 has 300 divisors, whose sum is σ = 9867620664. Its totient is φ = 558109440.

The previous prime is 2442046319. The next prime is 2442046331. The reversal of 2442046320 is 236402442.

2442046320 is a `hidden beast` number, since 2 + 4 + 4 + 20 + 4 + 632 + 0 = 666.

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 59 ways as a sum of consecutive naturals, for example, 313675 + ... + 321365.

Almost surely, 22442046320 is an apocalyptic number.

2442046320 is a gapful number since it is divisible by the number (20) 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 2442046320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4933810332).

2442046320 is an abundant number, since it is smaller than the sum of its proper divisors (7425574344).

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

2442046320 is a wasteful number, since it uses less digits than its factorization.

2442046320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7730 (or 7708 counting only the distinct ones).

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

The square root of 2442046320 is about 49417.0650686582. The cubic root of 2442046320 is about 1346.6393447168.

Adding to 2442046320 its reverse (236402442), we get a palindrome (2678448762).

The spelling of 2442046320 in words is "two billion, four hundred forty-two million, forty-six thousand, three hundred twenty".