Search a number
-
+
3424453440 = 263523315003
BaseRepresentation
bin1100110000011101…
…0000001101000000
322211122201020222220
43030013100031000
524003130002230
61323445531040
7150601242162
oct31407201500
98748636886
103424453440
1114a8018611
127b6a13a80
13427608315
14246b34932
15150987d10
hexcc1d0340

3424453440 has 224 divisors, whose sum is σ = 11713683456. Its totient is φ = 845137920.

The previous prime is 3424453411. The next prime is 3424453453. The reversal of 3424453440 is 443544243.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 681979 + ... + 686981.

Almost surely, 23424453440 is an apocalyptic number.

3424453440 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 3424453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5856841728).

3424453440 is an abundant number, since it is smaller than the sum of its proper divisors (8289230016).

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

3424453440 is a wasteful number, since it uses less digits than its factorization.

3424453440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5077 (or 5067 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 33.

The square root of 3424453440 is about 58518.8297900770. The cubic root of 3424453440 is about 1507.2909396042.

Adding to 3424453440 its reverse (443544243), we get a palindrome (3867997683).

The spelling of 3424453440 in words is "three billion, four hundred twenty-four million, four hundred fifty-three thousand, four hundred forty".