Search a number
-
+
3081438720 = 29335109409
BaseRepresentation
bin1011011110101011…
…0000011000000000
321221202021022021000
42313222300120000
522302322014340
61225433532000
7136234540233
oct26752603000
97852238230
103081438720
111341434578
1271bb74000
133a1529729
1421336541a
151307cdd30
hexb7ab0600

3081438720 has 320 divisors, whose sum is σ = 11072952000. Its totient is φ = 812187648.

The previous prime is 3081438707. The next prime is 3081438727. The reversal of 3081438720 is 278341803.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3081438727) 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 31 ways as a sum of consecutive naturals, for example, 7533876 + ... + 7534284.

It is an arithmetic number, because the mean of its divisors is an integer number (34602975).

Almost surely, 23081438720 is an apocalyptic number.

3081438720 is a gapful number since it is divisible by the number (30) 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 3081438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5536476000).

3081438720 is an abundant number, since it is smaller than the sum of its proper divisors (7991513280).

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

3081438720 is a wasteful number, since it uses less digits than its factorization.

3081438720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3081438720 is about 55510.7081561747. The cubic root of 3081438720 is about 1455.1837795281.

The spelling of 3081438720 in words is "three billion, eighty-one million, four hundred thirty-eight thousand, seven hundred twenty".