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2974284369 = 3276532
BaseRepresentation
bin1011000101000111…
…1111101001010001
321200021122022010100
42301101333221101
522042404044434
61211045123013
7133464000000
oct26121775121
97607568110
102974284369
1112969a6961
126b00b9469
1338527c6a4
14203030c37
151261b4699
hexb147fa51

2974284369 has 63 divisors (see below), whose sum is σ = 5108568283. Its totient is φ = 1667523312.

The previous prime is 2974284347. The next prime is 2974284371. The reversal of 2974284369 is 9634824792.

The square root of 2974284369 is 54537.

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., 2144153025 + 830131344 = 46305^2 + 28812^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 2974284369 - 25 = 2974284337 is a prime.

It is a super-2 number, since 2×29742843692 = 17692735015355456322, which contains 22 as substring.

Its product of digits (5225472) is a multiple of the sum of its prime divisors (63).

It is not an unprimeable number, because it can be changed into a prime (2974084369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 56118547 + ... + 56118599.

Almost surely, 22974284369 is an apocalyptic number.

2974284369 is the 54537-th square number.

2974284369 is the 27269-th centered octagonal number.

It is an amenable number.

2974284369 is a deficient number, since it is larger than the sum of its proper divisors (2134283914).

2974284369 is an frugal number, since it uses more digits than its factorization.

2974284369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 63 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The cubic root of 2974284369 is about 1438.1168105742.

The spelling of 2974284369 in words is "two billion, nine hundred seventy-four million, two hundred eighty-four thousand, three hundred sixty-nine".

Divisors: 1 3 7 9 21 49 53 63 147 159 343 371 441 477 1029 1113 2401 2597 2809 3087 3339 7203 7791 8427 16807 18179 19663 21609 23373 25281 50421 54537 58989 117649 127253 137641 151263 163611 176967 352947 381759 412923 890771 963487 1058841 1145277 1238769 2672313 2890461 6235397 6744409 8016939 8671383 18706191 20233227 47210863 56118573 60699681 141632589 330476041 424897767 991428123 2974284369