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2330983424 = 210711173747
BaseRepresentation
bin1000101011101111…
…1111110000000000
320000110011020010102
42022323333300000
514233212432144
61023145021532
7111523014020
oct21273776000
96013136112
102330983424
11a96863390
125507848a8
132b1c02943
14181815a80
15d9991b4e
hex8aeffc00

2330983424 has 352 divisors, whose sum is σ = 6451881984. Its totient is φ = 813957120.

The previous prime is 2330983357. The next prime is 2330983433. The reversal of 2330983424 is 4243890332.

2330983424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49595369 + ... + 49595415.

Almost surely, 22330983424 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 2330983424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3225940992).

2330983424 is an abundant number, since it is smaller than the sum of its proper divisors (4120898560).

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

2330983424 is a wasteful number, since it uses less digits than its factorization.

2330983424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 38.

The square root of 2330983424 is about 48280.2591542340. The cubic root of 2330983424 is about 1325.9069948046.

The spelling of 2330983424 in words is "two billion, three hundred thirty million, nine hundred eighty-three thousand, four hundred twenty-four".