Search a number
-
+
3424204320 = 2535193071223
BaseRepresentation
bin1100110000011001…
…0011011000100000
322211122020121021020
43030012103120200
524003044014240
61323440325440
7150566153655
oct31406233040
98748217236
103424204320
1114a7968429
127b6913880
1342754bb04
14246aabc2c
151509390d0
hexcc193620

3424204320 has 192 divisors, whose sum is σ = 11400238080. Its totient is φ = 861539328.

The previous prime is 3424204297. The next prime is 3424204321. The reversal of 3424204320 is 234024243.

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

It is not an unprimeable number, because it can be changed into a prime (3424204321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2799229 + ... + 2800451.

It is an arithmetic number, because the mean of its divisors is an integer number (59376240).

Almost surely, 23424204320 is an apocalyptic number.

3424204320 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 3424204320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5700119040).

3424204320 is an abundant number, since it is smaller than the sum of its proper divisors (7976033760).

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

3424204320 is a wasteful number, since it uses less digits than its factorization.

3424204320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567 (or 1559 counting only the distinct ones).

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

The square root of 3424204320 is about 58516.7012057242. The cubic root of 3424204320 is about 1507.2543882312.

Adding to 3424204320 its reverse (234024243), we get a palindrome (3658228563).

The spelling of 3424204320 in words is "three billion, four hundred twenty-four million, two hundred four thousand, three hundred twenty".