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3400211321 = 13990126417
BaseRepresentation
bin1100101010101011…
…0001101101111001
322202222002122001122
43022222301231321
523430423230241
61321222155025
7150155214353
oct31252615571
98688078048
103400211321
111495370101
127aa882a75
1342259b080
142438240d3
1514d79a04b
hexcaab1b79

3400211321 has 8 divisors (see below), whose sum is σ = 3662274504. Its totient is φ = 3138220800.

The previous prime is 3400211299. The next prime is 3400211351. The reversal of 3400211321 is 1231120043.

It can be written as a sum of positive squares in 4 ways, for example, as 302064400 + 3098146921 = 17380^2 + 55661^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 3400211321 - 26 = 3400211257 is a prime.

It is a super-2 number, since 2×34002113212 = 23122874054913130082, which contains 22 as substring.

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 3400211321.

It is not an unprimeable number, because it can be changed into a prime (3400211351) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115505 + ... + 141921.

It is an arithmetic number, because the mean of its divisors is an integer number (457784313).

Almost surely, 23400211321 is an apocalyptic number.

It is an amenable number.

3400211321 is a deficient number, since it is larger than the sum of its proper divisors (262063183).

3400211321 is a wasteful number, since it uses less digits than its factorization.

3400211321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36331.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 3400211321 is about 58311.3309829230. The cubic root of 3400211321 is about 1503.7257487209.

Adding to 3400211321 its reverse (1231120043), we get a palindrome (4631331364).

The spelling of 3400211321 in words is "three billion, four hundred million, two hundred eleven thousand, three hundred twenty-one".

Divisors: 1 13 9901 26417 128713 343421 261554717 3400211321