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4334442420 = 22357112274133
BaseRepresentation
bin1000000100101101…
…00101011110110100
3102012002000111012110
410002112211132310
532334104124140
61554034051020
7212261103240
oct40226453664
912162014173
104334442420
111924752820
12a0b719a70
13540cbb539
142d1931420
151a57d9380
hex1025a57b4

4334442420 has 192 divisors, whose sum is σ = 15201478656. Its totient is φ = 896478720.

The previous prime is 4334442419. The next prime is 4334442473. The reversal of 4334442420 is 242444334.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1046674 + ... + 1050806.

It is an arithmetic number, because the mean of its divisors is an integer number (79174368).

Almost surely, 24334442420 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 4334442420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7600739328).

4334442420 is an abundant number, since it is smaller than the sum of its proper divisors (10867036236).

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

4334442420 is a wasteful number, since it uses less digits than its factorization.

4334442420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4390 (or 4388 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

The square root of 4334442420 is about 65836.4824394499. The cubic root of 4334442420 is about 1630.4634937207.

Adding to 4334442420 its reverse (242444334), we get a palindrome (4576886754).

The spelling of 4334442420 in words is "four billion, three hundred thirty-four million, four hundred forty-two thousand, four hundred twenty".