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3434413112 = 2313371396421
BaseRepresentation
bin1100110010110100…
…1111110000111000
322212100110021002122
43030231033300320
524013202204422
61324443220412
7151052013134
oct31455176070
98770407078
103434413112
111502700449
127ba217708
134296b4710
142481a83c4
151517a3d42
hexccb4fc38

3434413112 has 64 divisors (see below), whose sum is σ = 7174658400. Its totient is φ = 1530938880.

The previous prime is 3434413111. The next prime is 3434413141. The reversal of 3434413112 is 2113144343.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434413111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 531662 + ... + 538082.

Almost surely, 23434413112 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 3434413112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3587329200).

3434413112 is an abundant number, since it is smaller than the sum of its proper divisors (3740245288).

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

3434413112 is a wasteful number, since it uses less digits than its factorization.

3434413112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6616 (or 6612 counting only the distinct ones).

The product of its digits is 3456, while the sum is 26.

The square root of 3434413112 is about 58603.8660158184. The cubic root of 3434413112 is about 1508.7507923329.

Adding to 3434413112 its reverse (2113144343), we get a palindrome (5547557455).

The spelling of 3434413112 in words is "three billion, four hundred thirty-four million, four hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 37 52 74 104 139 148 278 296 481 556 962 1112 1807 1924 3614 3848 5143 6421 7228 10286 12842 14456 20572 25684 41144 51368 66859 83473 133718 166946 237577 267436 333892 475154 534872 667784 892519 950308 1785038 1900616 3088501 3570076 6177002 7140152 11602747 12354004 23205494 24708008 33023203 46410988 66046406 92821976 132092812 264185624 429301639 858603278 1717206556 3434413112