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2330349696 = 273319231543
BaseRepresentation
bin1000101011100110…
…0101000010000000
320000101222000211000
42022321211002000
514233032142241
61023123252000
7111514434303
oct21271450200
96011860730
102330349696
11a96470244
1255051a000
132b1a4035c
141816ccb3a
15d98b8eb6
hex8ae65080

2330349696 has 256 divisors, whose sum is σ = 7559424000. Its totient is φ = 703448064.

The previous prime is 2330349689. The next prime is 2330349709. The reversal of 2330349696 is 6969430332.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1509501 + ... + 1511043.

It is an arithmetic number, because the mean of its divisors is an integer number (29529000).

Almost surely, 22330349696 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 2330349696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3779712000).

2330349696 is an abundant number, since it is smaller than the sum of its proper divisors (5229074304).

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

2330349696 is a wasteful number, since it uses less digits than its factorization.

2330349696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 45.

The square root of 2330349696 is about 48273.6956944463. The cubic root of 2330349696 is about 1325.7868251316.

The spelling of 2330349696 in words is "two billion, three hundred thirty million, three hundred forty-nine thousand, six hundred ninety-six".