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3423243120 = 243511472587
BaseRepresentation
bin1100110000001010…
…1000101101110000
322211120102202202020
43030002220231300
524002322234440
61323403551440
7150555041433
oct31402505560
98746382666
103423243120
1114a7371250
127b652b580
134272a345b
142468db81a
151507e93d0
hexcc0a8b70

3423243120 has 240 divisors, whose sum is σ = 11848491648. Its totient is φ = 810836480.

The previous prime is 3423243067. The next prime is 3423243121. The reversal of 3423243120 is 213423243.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3423243121) 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, 5831467 + ... + 5832053.

Almost surely, 23423243120 is an apocalyptic number.

3423243120 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 3423243120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5924245824).

3423243120 is an abundant number, since it is smaller than the sum of its proper divisors (8425248528).

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

3423243120 is a wasteful number, since it uses less digits than its factorization.

3423243120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3423243120 is about 58508.4875894088. The cubic root of 3423243120 is about 1507.1133424715.

Adding to 3423243120 its reverse (213423243), we get a palindrome (3636666363).

The spelling of 3423243120 in words is "three billion, four hundred twenty-three million, two hundred forty-three thousand, one hundred twenty".