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34404350213 = 415417692017
BaseRepresentation
bin100000000010101010…
…001011100100000101
310021210200212002001002
4200002222023210011
51030430003201323
623445524343045
72325400103012
oct400252134405
9107720762032
1034404350213
11136553a4592
126801b44a85
1333239bc19c
141945376709
15d65621828
hex802a8b905

34404350213 has 16 divisors (see below), whose sum is σ = 35372069040. Its totient is φ = 33443020800.

The previous prime is 34404350177. The next prime is 34404350243. The reversal of 34404350213 is 31205340443.

It can be written as a sum of positive squares in 8 ways, for example, as 1326562084 + 33077788129 = 36422^2 + 181873^2 .

It is a cyclic number.

It is not a de Polignac number, because 34404350213 - 214 = 34404333829 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34404350243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17056181 + ... + 17058197.

It is an arithmetic number, because the mean of its divisors is an integer number (2210754315).

Almost surely, 234404350213 is an apocalyptic number.

It is an amenable number.

34404350213 is a deficient number, since it is larger than the sum of its proper divisors (967718827).

34404350213 is a wasteful number, since it uses less digits than its factorization.

34404350213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3368.

The product of its (nonzero) digits is 17280, while the sum is 29.

Adding to 34404350213 its reverse (31205340443), we get a palindrome (65609690656).

The spelling of 34404350213 in words is "thirty-four billion, four hundred four million, three hundred fifty thousand, two hundred thirteen".

Divisors: 1 41 541 769 2017 22181 31529 82697 416029 1091197 1551073 17057189 44739077 63593993 839130493 34404350213