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3029340769 = 72135321693
BaseRepresentation
bin1011010010010000…
…0001001001100001
321211010020110022021
42310210001021201
522201002401034
61220333141441
7135032654200
oct26444011141
97733213267
103029340769
111314a90614
1270662a881
133937b8440
1420a483237
1512ae3c6b4
hexb4901261

3029340769 has 36 divisors (see below), whose sum is σ = 3870237756. Its totient is φ = 2350228608.

The previous prime is 3029340733. The next prime is 3029340799. The reversal of 3029340769 is 9670439203.

It can be written as a sum of positive squares in 6 ways, for example, as 2140369 + 3027200400 = 1463^2 + 55020^2 .

It is not a de Polignac number, because 3029340769 - 213 = 3029332577 is a prime.

It is a super-2 number, since 2×30293407692 = 18353810989451022722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3029340799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1788487 + ... + 1790179.

Almost surely, 23029340769 is an apocalyptic number.

It is an amenable number.

3029340769 is a deficient number, since it is larger than the sum of its proper divisors (840896987).

3029340769 is a wasteful number, since it uses less digits than its factorization.

3029340769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 43.

The square root of 3029340769 is about 55039.4473900311. The cubic root of 3029340769 is about 1446.9361814314.

The spelling of 3029340769 in words is "three billion, twenty-nine million, three hundred forty thousand, seven hundred sixty-nine".

Divisors: 1 7 13 49 53 91 371 637 689 1693 2597 2809 4823 11851 19663 22009 33761 36517 82957 89729 137641 154063 255619 628103 1078441 1166477 1789333 4396721 4755637 8165339 33289459 57157373 61823281 233026213 432762967 3029340769