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3067013241 = 3431441
BaseRepresentation
bin1011011011001110…
…1110100001111001
321220202010102020000
42312303232201321
522240123410431
61224200423213
7136001116365
oct26663564171
97822112200
103067013241
111334281496
12717177b09
1339b548746
1421148c2a5
1512e3ce9e6
hexb6cee879

3067013241 has 50 divisors (see below), whose sum is σ = 4849778010. Its totient is φ = 1930456800.

The previous prime is 3067013237. The next prime is 3067013249. The reversal of 3067013241 is 1423107603.

It can be written as a sum of positive squares in only one way, i.e., 1870130025 + 1196883216 = 43245^2 + 34596^2 .

It is not a de Polignac number, because 3067013241 - 22 = 3067013237 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3067013249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 74805181 + ... + 74805221.

Almost surely, 23067013241 is an apocalyptic number.

3067013241 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3067013241 is a deficient number, since it is larger than the sum of its proper divisors (1782764769).

3067013241 is an frugal number, since it uses more digits than its factorization.

3067013241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3067013241 is about 55380.6215295567. The cubic root of 3067013241 is about 1452.9094560297.

The spelling of 3067013241 in words is "three billion, sixty-seven million, thirteen thousand, two hundred forty-one".

Divisors: 1 3 9 27 31 41 81 93 123 279 369 837 961 1107 1271 2511 2883 3321 3813 8649 11439 25947 29791 34317 39401 77841 89373 102951 118203 268119 354609 804357 923521 1063827 1221431 2413071 2770563 3191481 3664293 8311689 10992879 24935067 32978637 37864361 74805201 98935911 113593083 340779249 1022337747 3067013241