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3422423040 = 21135373011
BaseRepresentation
bin1100101111111110…
…0000100000000000
322211111220002210220
43023333200200000
524002120014130
61323334223040
7150545054511
oct31377404000
98744802726
103422423040
1114a69610a3
127b61b4a80
134270770ba
14246766a08
151506d6410
hexcbfe0800

3422423040 has 192 divisors, whose sum is σ = 11248735680. Its totient is φ = 887685120.

The previous prime is 3422423029. The next prime is 3422423041. The reversal of 3422423040 is 403242243.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3422423040.

It is not an unprimeable number, because it can be changed into a prime (3422423041) 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 15 ways as a sum of consecutive naturals, for example, 1135135 + ... + 1138145.

It is an arithmetic number, because the mean of its divisors is an integer number (58587165).

Almost surely, 23422423040 is an apocalyptic number.

3422423040 is a gapful number since it is divisible by the number (30) 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 3422423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624367840).

3422423040 is an abundant number, since it is smaller than the sum of its proper divisors (7826312640).

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

3422423040 is a wasteful number, since it uses less digits than its factorization.

3422423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 3422423040 is about 58501.4789556640. The cubic root of 3422423040 is about 1506.9929836796.

Adding to 3422423040 its reverse (403242243), we get a palindrome (3825665283).

The spelling of 3422423040 in words is "three billion, four hundred twenty-two million, four hundred twenty-three thousand, forty".