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331443333 = 3413314761
BaseRepresentation
bin10011110000010…
…110110010000101
3212002200001210000
4103300112302011
51134322141313
652515551513
711133136044
oct2360266205
9762601700
10331443333
11160100311
1292bbb599
1353889a20
143203a55b
151e170673
hex13c16c85

331443333 has 20 divisors (see below), whose sum is σ = 533206828. Its totient is φ = 203964480.

The previous prime is 331443331. The next prime is 331443341. The reversal of 331443333 is 333344133.

It can be written as a sum of positive squares in 2 ways, for example, as 186650244 + 144793089 = 13662^2 + 12033^2 .

It is not a de Polignac number, because 331443333 - 21 = 331443331 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 331443297 and 331443306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331443331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 156328 + ... + 158433.

Almost surely, 2331443333 is an apocalyptic number.

It is an amenable number.

331443333 is a deficient number, since it is larger than the sum of its proper divisors (201763495).

331443333 is a wasteful number, since it uses less digits than its factorization.

331443333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314786 (or 314777 counting only the distinct ones).

The product of its digits is 11664, while the sum is 27.

The square root of 331443333 is about 18205.5852144335. The cubic root of 331443333 is about 692.0483367229.

Adding to 331443333 its reverse (333344133), we get a palindrome (664787466).

It can be divided in two parts, 331443 and 333, that added together give a 4-th power (331776 = 244).

The spelling of 331443333 in words is "three hundred thirty-one million, four hundred forty-three thousand, three hundred thirty-three".

Divisors: 1 3 9 13 27 39 81 117 351 1053 314761 944283 2832849 4091893 8498547 12275679 25495641 36827037 110481111 331443333