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3057263040 = 2635132310651
BaseRepresentation
bin1011011000111010…
…0010000111000000
321220001210001110110
42312032202013000
522230124404130
61223211431320
7135522210216
oct26616420700
97801701413
103057263040
111329821a77
12713a55540
133995137b0
14210070cb6
1512d605ab0
hexb63a21c0

3057263040 has 224 divisors, whose sum is σ = 10909011456. Its totient is φ = 719769600.

The previous prime is 3057263029. The next prime is 3057263089. The reversal of 3057263040 is 403627503.

3057263040 = 4362 + 4372 + ... + 20992.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3057262989 and 3057263007.

It is a congruent number.

It is an unprimeable number.

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, 281715 + ... + 292365.

It is an arithmetic number, because the mean of its divisors is an integer number (48700944).

Almost surely, 23057263040 is an apocalyptic number.

3057263040 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 3057263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5454505728).

3057263040 is an abundant number, since it is smaller than the sum of its proper divisors (7851748416).

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

3057263040 is a wasteful number, since it uses less digits than its factorization.

3057263040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10707 (or 10697 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 3057263040 is about 55292.5224600940. The cubic root of 3057263040 is about 1451.3681957059.

The spelling of 3057263040 in words is "three billion, fifty-seven million, two hundred sixty-three thousand, forty".