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2939466240 = 2933523432
BaseRepresentation
bin1010111100110100…
…1011001000000000
321120212010100122000
42233031023020000
522010000404430
61203402544000
7132562023264
oct25715131000
97525110560
102939466240
111279285547
126a0508000
1337acab649
141dc56a0a4
151230d7e60
hexaf34b200

2939466240 has 480 divisors, whose sum is σ = 11154464640. Its totient is φ = 732340224.

The previous prime is 2939466227. The next prime is 2939466241. The reversal of 2939466240 is 426649392.

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 (45).

It is not an unprimeable number, because it can be changed into a prime (2939466241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68359659 + ... + 68359701.

It is an arithmetic number, because the mean of its divisors is an integer number (23238468).

Almost surely, 22939466240 is an apocalyptic number.

2939466240 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 2939466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5577232320).

2939466240 is an abundant number, since it is smaller than the sum of its proper divisors (8214998400).

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

2939466240 is an equidigital number, since it uses as much as digits as its factorization.

2939466240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 2939466240 is about 54216.8446149349. The cubic root of 2939466240 is about 1432.4830512509.

The spelling of 2939466240 in words is "two billion, nine hundred thirty-nine million, four hundred sixty-six thousand, two hundred forty".