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3348126769 = 13244512
BaseRepresentation
bin1100011110010000…
…0101110000110001
322122100002110111011
43013210011300301
523324110024034
61312121550521
7145653415351
oct30744056061
98570073434
103348126769
111468a26219
12795345441
13414862c00
1423a946b61
15148e0c864
hexc7905c31

3348126769 has 9 divisors (see below), whose sum is σ = 3626301099. Its totient is φ = 3089884200.

The previous prime is 3348126709. The next prime is 3348126779. The reversal of 3348126769 is 9676218433.

The square root of 3348126769 is 57863.

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

It can be written as a sum of positive squares in only one way, i.e., 495285025 + 2852841744 = 22255^2 + 53412^2 .

It is not a de Polignac number, because 3348126769 - 27 = 3348126641 is a prime.

It is a super-2 number, since 2×33481267692 = 22419905722588758722, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3348126709) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 749994 + ... + 754444.

Almost surely, 23348126769 is an apocalyptic number.

3348126769 is the 57863-rd square number.

3348126769 is the 28932-nd centered octagonal number.

It is an amenable number.

3348126769 is a deficient number, since it is larger than the sum of its proper divisors (278174330).

3348126769 is an frugal number, since it uses more digits than its factorization.

3348126769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8928 (or 4464 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 49.

The cubic root of 3348126769 is about 1496.0081668616.

Multiplying 3348126769 by its sum of digits (49), we get a square (164058211681 = 4050412).

The spelling of 3348126769 in words is "three billion, three hundred forty-eight million, one hundred twenty-six thousand, seven hundred sixty-nine".

Divisors: 1 13 169 4451 57863 752219 19811401 257548213 3348126769