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3041591040 = 283351731167
BaseRepresentation
bin1011010101001010…
…1111111100000000
321211222021211112000
42311102233330000
522212121403130
61221451504000
7135242045235
oct26522577400
97758254460
103041591040
111320998404
1270a758000
133961b7317
1420bd5178c
1512c05c260
hexb54aff00

3041591040 has 576 divisors, whose sum is σ = 11867627520. Its totient is φ = 734330880.

The previous prime is 3041591017. The next prime is 3041591123. The reversal of 3041591040 is 401951403.

3041591040 is a `hidden beast` number, since 30 + 4 + 1 + 591 + 0 + 40 = 666.

3041591040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 3041590995 and 3041591013.

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, 18213037 + ... + 18213203.

It is an arithmetic number, because the mean of its divisors is an integer number (20603520).

Almost surely, 23041591040 is an apocalyptic number.

3041591040 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 3041591040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5933813760).

3041591040 is an abundant number, since it is smaller than the sum of its proper divisors (8826036480).

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

3041591040 is a wasteful number, since it uses less digits than its factorization.

3041591040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 3041591040 is about 55150.6213926915. The cubic root of 3041591040 is about 1448.8839672356.

The spelling of 3041591040 in words is "three billion, forty-one million, five hundred ninety-one thousand, forty".