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3026147040 = 25355711119
BaseRepresentation
bin1011010001011111…
…0101011011100000
321210220020012100000
42310113311123200
522144143201130
61220140500000
7134663553060
oct26427653340
97726205300
103026147040
1113131aa074
1270554a600
13392c3a867
14209c913a0
1512aa0b260
hexb45f56e0

3026147040 has 288 divisors, whose sum is σ = 12240184320. Its totient is φ = 691628544.

The previous prime is 3026147039. The next prime is 3026147041. The reversal of 3026147040 is 407416203.

3026147040 is a `hidden beast` number, since 3 + 0 + 2 + 614 + 7 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3026147039) and next prime (3026147041).

It is a tau number, because it is divible by the number of its divisors (288).

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 = 3026146995 and 3026147013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3026147041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 266601 + ... + 277719.

It is an arithmetic number, because the mean of its divisors is an integer number (42500640).

Almost surely, 23026147040 is an apocalyptic number.

3026147040 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 3026147040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6120092160).

3026147040 is an abundant number, since it is smaller than the sum of its proper divisors (9214037280).

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

3026147040 is a wasteful number, since it uses less digits than its factorization.

3026147040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11156 (or 11136 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3026147040 is about 55010.4266480456. The cubic root of 3026147040 is about 1446.4275177417.

The spelling of 3026147040 in words is "three billion, twenty-six million, one hundred forty-seven thousand, forty".