Search a number
-
+
2338778880 = 28335313759
BaseRepresentation
bin1000101101100110…
…1110111100000000
320000222211021111000
42023121232330000
514242211411010
61024024052000
7111646202214
oct21331567400
96028737430
102338778880
11aa01a8209
12553304000
132b3701c39
14182884944
15da4d17c0
hex8b66ef00

2338778880 has 576 divisors, whose sum is σ = 8947814400. Its totient is φ = 577290240.

The previous prime is 2338778861. The next prime is 2338778903. The reversal of 2338778880 is 888778332.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39640291 + ... + 39640349.

It is an arithmetic number, because the mean of its divisors is an integer number (15534400).

Almost surely, 22338778880 is an apocalyptic number.

2338778880 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 2338778880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4473907200).

2338778880 is an abundant number, since it is smaller than the sum of its proper divisors (6609035520).

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

2338778880 is a wasteful number, since it uses less digits than its factorization.

2338778880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The square root of 2338778880 is about 48360.9230681136. The cubic root of 2338778880 is about 1327.3834172571.

The spelling of 2338778880 in words is "two billion, three hundred thirty-eight million, seven hundred seventy-eight thousand, eight hundred eighty".