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3214096249 = 74132892
BaseRepresentation
bin1011111110010011…
…0011011101111001
322021222220000011211
42333210303131321
523040302034444
61250533123121
7142435240000
oct27744633571
98258800154
103214096249
1113aa3010a1
127584894a1
133c2b65a00
14226c17c37
1513c284c34
hexbf933779

3214096249 has 45 divisors (see below), whose sum is σ = 4106302413. Its totient is φ = 2514447936.

The previous prime is 3214096247. The next prime is 3214096267. The reversal of 3214096249 is 9426904123.

The square root of 3214096249 is 56693.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1405125225 + 1808971024 = 37485^2 + 42532^2 .

It is not a de Polignac number, because 3214096249 - 21 = 3214096247 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3214096241) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 36113397 + ... + 36113485.

Almost surely, 23214096249 is an apocalyptic number.

3214096249 is the 56693-rd square number.

3214096249 is the 28347-th centered octagonal number.

It is an amenable number.

3214096249 is a deficient number, since it is larger than the sum of its proper divisors (892206164).

3214096249 is an frugal number, since it uses more digits than its factorization.

3214096249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The cubic root of 3214096249 is about 1475.7732227058.

The spelling of 3214096249 in words is "three billion, two hundred fourteen million, ninety-six thousand, two hundred forty-nine".

Divisors: 1 7 13 49 89 91 169 343 623 637 1157 1183 2401 4361 4459 7921 8099 8281 15041 30527 31213 55447 56693 57967 102973 105287 213689 388129 396851 405769 720811 737009 1338649 2716903 2777957 5045677 5159063 9370543 19018321 35319739 36113441 65593801 247238173 459156607 3214096249