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2043347040 = 2533574197
BaseRepresentation
bin111100111001011…
…0000000001100000
312021101220210012000
41321302300001200
513141044101130
6534432004000
7101431110000
oct17162600140
95241823160
102043347040
11959463969
12490390600
132674434b7
14155540000
15be5c6260
hex79cb0060

2043347040 has 480 divisors, whose sum is σ = 8385521760. Its totient is φ = 464679936.

The previous prime is 2043347029. The next prime is 2043347041. The reversal of 2043347040 is 407433402.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 2043346995 and 2043347013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2043347041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10372222 + ... + 10372418.

It is an arithmetic number, because the mean of its divisors is an integer number (17469837).

Almost surely, 22043347040 is an apocalyptic number.

2043347040 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 2043347040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4192760880).

2043347040 is an abundant number, since it is smaller than the sum of its proper divisors (6342174720).

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

2043347040 is an equidigital number, since it uses as much as digits as its factorization.

2043347040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 214 counting only the distinct ones).

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

The square root of 2043347040 is about 45203.3963325766. The cubic root of 2043347040 is about 1268.9583787745.

The spelling of 2043347040 in words is "two billion, forty-three million, three hundred forty-seven thousand, forty".