Search a number
-
+
3334007441 is a prime number
BaseRepresentation
bin1100011010111000…
…1110101010010001
322121100112010102002
43012232032222101
523312001214231
61310455203345
7145422411212
oct30656165221
98540463362
103334007441
111460a62156
12790676555
1341195b38b
14238b0d409
15147a6e0cb
hexc6b8ea91

3334007441 has 2 divisors, whose sum is σ = 3334007442. Its totient is φ = 3334007440.

The previous prime is 3334007419. The next prime is 3334007449. The reversal of 3334007441 is 1447004333.

3334007441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2654310400 + 679697041 = 51520^2 + 26071^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3334007441 is a prime.

It is a super-2 number, since 2×33340074412 = 22231211233286736962, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3334007449) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1667003720 + 1667003721.

It is an arithmetic number, because the mean of its divisors is an integer number (1667003721).

Almost surely, 23334007441 is an apocalyptic number.

It is an amenable number.

3334007441 is a deficient number, since it is larger than the sum of its proper divisors (1).

3334007441 is an equidigital number, since it uses as much as digits as its factorization.

3334007441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12096, while the sum is 29.

The square root of 3334007441 is about 57740.8645674794. The cubic root of 3334007441 is about 1493.9022737082.

The spelling of 3334007441 in words is "three billion, three hundred thirty-four million, seven thousand, four hundred forty-one".