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2943203040 = 253452941191
BaseRepresentation
bin1010111101101101…
…1011011011100000
321121010011012120000
42233123123123200
522011424444130
61204015020000
7132635545611
oct25733333340
97533135500
102943203040
1112803a8008
126a180a600
1337b9b947b
141dcc5dc08
151235c5260
hexaf6db6e0

2943203040 has 480 divisors, whose sum is σ = 11064936960. Its totient is φ = 735436800.

The previous prime is 2943203009. The next prime is 2943203041. The reversal of 2943203040 is 403023492.

It is a happy number.

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 = 2943202995 and 2943203013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2943203041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15409345 + ... + 15409535.

It is an arithmetic number, because the mean of its divisors is an integer number (23051952).

Almost surely, 22943203040 is an apocalyptic number.

2943203040 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 2943203040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5532468480).

2943203040 is an abundant number, since it is smaller than the sum of its proper divisors (8121733920).

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

2943203040 is a wasteful number, since it uses less digits than its factorization.

2943203040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2943203040 is about 54251.2952840759. The cubic root of 2943203040 is about 1433.0898094779.

The spelling of 2943203040 in words is "two billion, nine hundred forty-three million, two hundred three thousand, forty".