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3120340041 = 327213544277
BaseRepresentation
bin1011100111111100…
…1001110001001001
322001110110200211200
42321333021301021
522342301340131
61233343414413
7140216311200
oct27177116111
98043420750
103120340041
111361394725
12730bb4409
133a95ca170
142185b0237
15133e152e6
hexb9fc9c49

3120340041 has 36 divisors (see below), whose sum is σ = 5646339972. Its totient is φ = 1645890624.

The previous prime is 3120340039. The next prime is 3120340043. The reversal of 3120340041 is 1400430213.

It is an interprime number because it is at equal distance from previous prime (3120340039) and next prime (3120340043).

It can be written as a sum of positive squares in 2 ways, for example, as 462422016 + 2657918025 = 21504^2 + 51555^2 .

It is not a de Polignac number, because 3120340041 - 21 = 3120340039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3120339996 and 3120340023.

It is not an unprimeable number, because it can be changed into a prime (3120340043) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 266406 + ... + 277871.

It is an arithmetic number, because the mean of its divisors is an integer number (156842777).

Almost surely, 23120340041 is an apocalyptic number.

It is an amenable number.

3120340041 is a deficient number, since it is larger than the sum of its proper divisors (2525999931).

3120340041 is a wasteful number, since it uses less digits than its factorization.

3120340041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544310 (or 544300 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3120340041 is about 55860.0039473683. The cubic root of 3120340041 is about 1461.2817981057.

Adding to 3120340041 its reverse (1400430213), we get a palindrome (4520770254).

The spelling of 3120340041 in words is "three billion, one hundred twenty million, three hundred forty thousand, forty-one".

Divisors: 1 3 7 9 13 21 39 49 63 91 117 147 273 441 637 819 1911 5733 544277 1632831 3809939 4898493 7075601 11429817 21226803 26669573 34289451 49529207 63680409 80008719 148587621 240026157 346704449 445762863 1040113347 3120340041