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3049507440 = 243457233779
BaseRepresentation
bin1011010111000011…
…1100101001110000
321212112012000210000
42311300330221300
522221133214230
61222333310000
7135366246150
oct26560745160
97775160700
103049507440
111325405091
12711335300
13397a29695
1420d012760
1512cac2b60
hexb5c3ca70

3049507440 has 800 divisors, whose sum is σ = 13136302080. Its totient is φ = 640493568.

The previous prime is 3049507423. The next prime is 3049507511. The reversal of 3049507440 is 447059403.

3049507440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 3049507395 and 3049507404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 38601321 + ... + 38601399.

Almost surely, 23049507440 is an apocalyptic number.

3049507440 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 3049507440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6568151040).

3049507440 is an abundant number, since it is smaller than the sum of its proper divisors (10086794640).

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

3049507440 is a wasteful number, since it uses less digits than its factorization.

3049507440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3049507440 is about 55222.3454771707. The cubic root of 3049507440 is about 1450.1398897933.

The spelling of 3049507440 in words is "three billion, forty-nine million, five hundred seven thousand, four hundred forty".