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3434511041 = 131922347677
BaseRepresentation
bin1100110010110110…
…0111101011000001
322212100122020102122
43030231213223001
524013213323131
61324445254025
7151052601503
oct31455475301
98770566378
103434511041
111502767a85
127ba264315
1342971a170
142481d1d73
151517c2d7b
hexccb67ac1

3434511041 has 48 divisors (see below), whose sum is σ = 4166152704. Its totient is φ = 2807595648.

The previous prime is 3434511023. The next prime is 3434511097. The reversal of 3434511041 is 1401154343.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-3434511041 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3434511041.

It is not an unprimeable number, because it can be changed into a prime (3434510041) 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 47 ways as a sum of consecutive naturals, for example, 5072795 + ... + 5073471.

It is an arithmetic number, because the mean of its divisors is an integer number (86794848).

Almost surely, 23434511041 is an apocalyptic number.

It is an amenable number.

3434511041 is a deficient number, since it is larger than the sum of its proper divisors (731641663).

3434511041 is a wasteful number, since it uses less digits than its factorization.

3434511041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 3434511041 is about 58604.7015264134. The cubic root of 3434511041 is about 1508.7651323911.

Adding to 3434511041 its reverse (1401154343), we get a palindrome (4835665384).

The spelling of 3434511041 in words is "three billion, four hundred thirty-four million, five hundred eleven thousand, forty-one".

Divisors: 1 13 19 23 47 247 299 361 437 611 677 893 1081 4693 5681 8303 8801 11609 12863 14053 15571 16967 20539 31819 107939 167219 202423 220571 244397 267007 295849 390241 413647 604561 731837 3177161 3846037 5073133 5621131 7859293 9513881 11486659 13904903 73074703 149326567 180763739 264193157 3434511041