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331345420 = 225713917027
BaseRepresentation
bin10011101111111…
…110111000001100
3212002111002110121
4103233332320030
51134311023140
652513514324
711132250430
oct2357767014
9762432417
10331345420
1116004379a
1292b729a4
13538542a3
14320129c0
151e15164a
hex13bfee0c

331345420 has 48 divisors (see below), whose sum is σ = 800997120. Its totient is φ = 112780224.

The previous prime is 331345411. The next prime is 331345423. The reversal of 331345420 is 24543133.

It is not an unprimeable number, because it can be changed into a prime (331345423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10947 + ... + 27973.

It is an arithmetic number, because the mean of its divisors is an integer number (16687440).

Almost surely, 2331345420 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 331345420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400498560).

331345420 is an abundant number, since it is smaller than the sum of its proper divisors (469651700).

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

331345420 is a wasteful number, since it uses less digits than its factorization.

331345420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17182 (or 17180 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 331345420 is about 18202.8959234513. The cubic root of 331345420 is about 691.9801830894.

Adding to 331345420 its reverse (24543133), we get a palindrome (355888553).

The spelling of 331345420 in words is "three hundred thirty-one million, three hundred forty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 139 140 278 556 695 973 1390 1946 2780 3892 4865 9730 17027 19460 34054 68108 85135 119189 170270 238378 340540 476756 595945 1191890 2366753 2383780 4733506 9467012 11833765 16567271 23667530 33134542 47335060 66269084 82836355 165672710 331345420