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3424413144 = 2332354111467
BaseRepresentation
bin1100110000011100…
…0110010111011000
322211122122012201110
43030013012113120
524003122210034
61323445020320
7150601013535
oct31407062730
98748565643
103424413144
1114a7aa0309
127b69b46a0
134275c2b89
14246b23d8c
1515097ade9
hexcc1c65d8

3424413144 has 64 divisors (see below), whose sum is σ = 8950544640. Its totient is φ = 1089728640.

The previous prime is 3424413107. The next prime is 3424413151. The reversal of 3424413144 is 4413144243.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292899 + ... + 304365.

It is an arithmetic number, because the mean of its divisors is an integer number (139852260).

Almost surely, 23424413144 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 3424413144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4475272320).

3424413144 is an abundant number, since it is smaller than the sum of its proper divisors (5526131496).

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

3424413144 is a wasteful number, since it uses less digits than its factorization.

3424413144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12040 (or 12036 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 3424413144 is about 58518.4854896297. The cubic root of 3424413144 is about 1507.2850274165.

Adding to 3424413144 its reverse (4413144243), we get a palindrome (7837557387).

The spelling of 3424413144 in words is "three billion, four hundred twenty-four million, four hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 541 552 1082 1623 2164 3246 4328 6492 11467 12443 12984 22934 24886 34401 37329 45868 49772 68802 74658 91736 99544 137604 149316 263741 275208 298632 527482 791223 1054964 1582446 2109928 3164892 6203647 6329784 12407294 18610941 24814588 37221882 49629176 74443764 142683881 148887528 285367762 428051643 570735524 856103286 1141471048 1712206572 3424413144