Search a number
-
+
331004034 = 23288120873
BaseRepresentation
bin10011101110101…
…011100010000010
3212001211202011200
4103232223202002
51134214112114
652502322030
711126326224
oct2356534202
9761752150
10331004034
1115a930259
1292a29316
1353764a9a
1431d64414
151e0d5409
hex13bab882

331004034 has 24 divisors (see below), whose sum is σ = 718023852. Its totient is φ = 110204160.

The previous prime is 331003969. The next prime is 331004039. The reversal of 331004034 is 430400133.

331004034 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 308107809 + 22896225 = 17553^2 + 4785^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 331003998 and 331004016.

It is not an unprimeable number, because it can be changed into a prime (331004039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5422 + ... + 26294.

Almost surely, 2331004034 is an apocalyptic number.

331004034 is an abundant number, since it is smaller than the sum of its proper divisors (387019818).

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

331004034 is a wasteful number, since it uses less digits than its factorization.

331004034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21762 (or 21759 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 331004034 is about 18193.5162626690. The cubic root of 331004034 is about 691.7424517983.

Adding to 331004034 its reverse (430400133), we get a palindrome (761404167).

The spelling of 331004034 in words is "three hundred thirty-one million, four thousand, thirty-four".

Divisors: 1 2 3 6 9 18 881 1762 2643 5286 7929 15858 20873 41746 62619 125238 187857 375714 18389113 36778226 55167339 110334678 165502017 331004034