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2940079296 = 2637112101179
BaseRepresentation
bin1010111100111110…
…0000110011000000
321120220021111120210
42233033200303000
522010130014141
61203424034120
7132600155520
oct25717406300
97526244523
102940079296
111279664100
126a0762940
1337b1646bb
141dc689680
151231a9916
hexaf3e0cc0

2940079296 has 336 divisors, whose sum is σ = 9923800320. Its totient is φ = 751872000.

The previous prime is 2940079283. The next prime is 2940079301. The reversal of 2940079296 is 6929700492.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 16424935 + ... + 16425113.

It is an arithmetic number, because the mean of its divisors is an integer number (29535120).

Almost surely, 22940079296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2940079296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4961900160).

2940079296 is an abundant number, since it is smaller than the sum of its proper divisors (6983721024).

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

2940079296 is a wasteful number, since it uses less digits than its factorization.

2940079296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 2940079296 is about 54222.4980612292. The cubic root of 2940079296 is about 1432.5826306998.

It can be divided in two parts, 294007 and 9296, that added together give a palindrome (303303).

The spelling of 2940079296 in words is "two billion, nine hundred forty million, seventy-nine thousand, two hundred ninety-six".