Search a number
-
+
6434833428 = 22362206733
BaseRepresentation
bin1011111111000101…
…11100010000010100
3121121110021102000000
411333202330100110
5101134304132203
62542304451300
7315314116212
oct57742742024
917543242000
106434833428
112802328661
1212b7019b30
137b71b535a
1445087dcb2
15279dcc4a3
hex17f8bc414

6434833428 has 42 divisors (see below), whose sum is σ = 16883721834. Its totient is φ = 2144943504.

The previous prime is 6434833423. The next prime is 6434833439. The reversal of 6434833428 is 8243384346.

It can be written as a sum of positive squares in only one way, i.e., 5251611024 + 1183222404 = 72468^2 + 34398^2 .

It is a super-2 number, since 2×64348334282 = 82814162492212462368, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6434833423) 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 13 ways as a sum of consecutive naturals, for example, 1100451 + ... + 1106282.

It is an arithmetic number, because the mean of its divisors is an integer number (401993377).

Almost surely, 26434833428 is an apocalyptic number.

It is an amenable number.

6434833428 is an abundant number, since it is smaller than the sum of its proper divisors (10448888406).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6434833428 is a wasteful number, since it uses less digits than its factorization.

6434833428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206755 (or 2206738 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 45.

The square root of 6434833428 is about 80217.4134960733. The cubic root of 6434833428 is about 1859.9978251796.

The spelling of 6434833428 in words is "six billion, four hundred thirty-four million, eight hundred thirty-three thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 2206733 4413466 6620199 8826932 13240398 19860597 26480796 39721194 59581791 79442388 119163582 178745373 238327164 357490746 536236119 714981492 1072472238 1608708357 2144944476 3217416714 6434833428