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3420040221 = 321343576709
BaseRepresentation
bin1100101111011001…
…1010110000011101
322211100102001012100
43023312122300131
524001012241341
61323211155313
7150515601513
oct31366326035
98740361170
103420040221
1114a5583924
127b5445b39
13426721650
142463064b3
151503b53b6
hexcbd9ac1d

3420040221 has 24 divisors (see below), whose sum is σ = 5322076760. Its totient is φ = 2103843456.

The previous prime is 3420040207. The next prime is 3420040243. The reversal of 3420040221 is 1220400243.

It can be written as a sum of positive squares in 4 ways, for example, as 1277276121 + 2142764100 = 35739^2 + 46290^2 .

It is not a de Polignac number, because 3420040221 - 218 = 3419778077 is a prime.

It is a super-2 number, since 2×34200402212 = 23393350226515457682, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3420040194 and 3420040203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3420040121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 506415 + ... + 513123.

Almost surely, 23420040221 is an apocalyptic number.

It is an amenable number.

3420040221 is a deficient number, since it is larger than the sum of its proper divisors (1902036539).

3420040221 is a wasteful number, since it uses less digits than its factorization.

3420040221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11085 (or 11082 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3420040221 is about 58481.1099501369. The cubic root of 3420040221 is about 1506.6431608429.

Adding to 3420040221 its reverse (1220400243), we get a palindrome (4640440464).

The spelling of 3420040221 in words is "three billion, four hundred twenty million, forty thousand, two hundred twenty-one".

Divisors: 1 3 9 13 39 117 4357 6709 13071 20127 39213 56641 60381 87217 169923 261651 509769 784953 29231113 87693339 263080017 380004469 1140013407 3420040221