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331304022 = 232711323269
BaseRepresentation
bin10011101111110…
…100110001010110
3212002101222200100
4103233310301112
51134303212042
652512554530
711132015640
oct2357646126
9762358610
10331304022
11160015685
1292b52a46
135383b4aa
1432001890
151e14424c
hex13bf4c56

331304022 has 48 divisors (see below), whose sum is σ = 827667360. Its totient is φ = 93816576.

The previous prime is 331304021. The next prime is 331304023. The reversal of 331304022 is 220403133.

It is an interprime number because it is at equal distance from previous prime (331304021) and next prime (331304023).

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 = 331303986 and 331304004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331304021) 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 23 ways as a sum of consecutive naturals, for example, 2604 + ... + 25872.

It is an arithmetic number, because the mean of its divisors is an integer number (17243070).

Almost surely, 2331304022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331304022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413833680).

331304022 is an abundant number, since it is smaller than the sum of its proper divisors (496363338).

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

331304022 is a wasteful number, since it uses less digits than its factorization.

331304022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23397 (or 23394 counting only the distinct ones).

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

The square root of 331304022 is about 18201.7587611747. The cubic root of 331304022 is about 691.9513634277.

Adding to 331304022 its reverse (220403133), we get a palindrome (551707155).

It can be divided in two parts, 3 and 31304022, that added together give a square (31304025 = 55952).

The spelling of 331304022 in words is "three hundred thirty-one million, three hundred four thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 113 126 226 339 678 791 1017 1582 2034 2373 4746 7119 14238 23269 46538 69807 139614 162883 209421 325766 418842 488649 977298 1465947 2629397 2931894 5258794 7888191 15776382 18405779 23664573 36811558 47329146 55217337 110434674 165652011 331304022