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331144424 = 23135360077
BaseRepresentation
bin10011101111001…
…101110011101000
3212002002212202022
4103233031303220
51134233110144
652505324012
711130452432
oct2357156350
9762085668
10331144424
1115aa16786
1292a96608
13537b3960
1431d9d652
151e111cee
hex13bcdce8

331144424 has 32 divisors (see below), whose sum is σ = 681284520. Its totient is φ = 149949696.

The previous prime is 331144421. The next prime is 331144427. The reversal of 331144424 is 424441133.

It is an interprime number because it is at equal distance from previous prime (331144421) and next prime (331144427).

It can be written as a sum of positive squares in 4 ways, for example, as 247055524 + 84088900 = 15718^2 + 9170^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 331144393 and 331144402.

It is not an unprimeable number, because it can be changed into a prime (331144421) 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 7 ways as a sum of consecutive naturals, for example, 24527 + ... + 35550.

Almost surely, 2331144424 is an apocalyptic number.

It is an amenable number.

331144424 is an abundant number, since it is smaller than the sum of its proper divisors (350140096).

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

331144424 is a wasteful number, since it uses less digits than its factorization.

331144424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60149 (or 60145 counting only the distinct ones).

The product of its digits is 4608, while the sum is 26.

The square root of 331144424 is about 18197.3740962810. The cubic root of 331144424 is about 691.8402350943.

Adding to 331144424 its reverse (424441133), we get a palindrome (755585557).

The spelling of 331144424 in words is "three hundred thirty-one million, one hundred forty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 53 104 106 212 424 689 1378 2756 5512 60077 120154 240308 480616 781001 1562002 3124004 3184081 6248008 6368162 12736324 25472648 41393053 82786106 165572212 331144424