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331030420 = 22573177459
BaseRepresentation
bin10011101110110…
…001111110010100
3212001220002100221
4103232301332110
51134220433140
652503044124
711126466160
oct2356617624
9761802327
10331030420
1115a949066
1292a40644
1353773ab6
1431d6dca0
151e0dd14a
hex13bb1f94

331030420 has 48 divisors (see below), whose sum is σ = 797086080. Its totient is φ = 113122944.

The previous prime is 331030397. The next prime is 331030423. The reversal of 331030420 is 24030133.

It is a super-2 number, since 2×3310304202 = 219162277930752800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 331030394 and 331030403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331030423) 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 15 ways as a sum of consecutive naturals, for example, 40651 + ... + 48109.

It is an arithmetic number, because the mean of its divisors is an integer number (16605960).

Almost surely, 2331030420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331030420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398543040).

331030420 is an abundant number, since it is smaller than the sum of its proper divisors (466055660).

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

331030420 is a wasteful number, since it uses less digits than its factorization.

331030420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7792 (or 7790 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 331030420 is about 18194.2413966617. The cubic root of 331030420 is about 691.7608320691.

Adding to 331030420 its reverse (24030133), we get a palindrome (355060553).

The spelling of 331030420 in words is "three hundred thirty-one million, thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 317 634 1268 1585 2219 3170 4438 6340 7459 8876 11095 14918 22190 29836 37295 44380 52213 74590 104426 149180 208852 261065 522130 1044260 2364503 4729006 9458012 11822515 16551521 23645030 33103042 47290060 66206084 82757605 165515210 331030420