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2334047040 = 2632513312011
BaseRepresentation
bin1000101100011110…
…1011101101000000
320000122220212121200
42023013223231000
514240004001130
61023334421200
7111561033603
oct21307535500
96018825550
102334047040
11a985660a6
12551801800
132b2736230
14181db233a
15d9d99760
hex8b1ebb40

2334047040 has 336 divisors, whose sum is σ = 8929030656. Its totient is φ = 555724800.

The previous prime is 2334046999. The next prime is 2334047099. The reversal of 2334047040 is 407404332.

It is a junction number, because it is equal to n+sod(n) for n = 2334046995 and 2334047013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1159635 + ... + 1161645.

It is an arithmetic number, because the mean of its divisors is an integer number (26574496).

Almost surely, 22334047040 is an apocalyptic number.

2334047040 is a gapful number since it is divisible by the number (20) 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 2334047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4464515328).

2334047040 is an abundant number, since it is smaller than the sum of its proper divisors (6594983616).

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

2334047040 is a wasteful number, since it uses less digits than its factorization.

2334047040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 2334047040 is about 48311.9761549867. The cubic root of 2334047040 is about 1326.4876212110.

The spelling of 2334047040 in words is "two billion, three hundred thirty-four million, forty-seven thousand, forty".