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345321020 = 2251110115541
BaseRepresentation
bin10100100101010…
…010111000111100
3220001210010101102
4110211102320330
51201400233040
654133232232
711362115552
oct2445227074
9801703342
10345321020
11167a19880
1297792678
1356708585
1433c0dbd2
15204b2515
hex14952e3c

345321020 has 48 divisors (see below), whose sum is σ = 798983136. Its totient is φ = 124320000.

The previous prime is 345321013. The next prime is 345321049. The reversal of 345321020 is 20123543.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 345320983 and 345321001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14450 + ... + 29990.

It is an arithmetic number, because the mean of its divisors is an integer number (16645482).

Almost surely, 2345321020 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 345321020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399491568).

345321020 is an abundant number, since it is smaller than the sum of its proper divisors (453662116).

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

345321020 is a wasteful number, since it uses less digits than its factorization.

345321020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15662 (or 15660 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 345321020 is about 18582.8151796223. The cubic root of 345321020 is about 701.5753770634.

Adding to 345321020 its reverse (20123543), we get a palindrome (365444563).

The spelling of 345321020 in words is "three hundred forty-five million, three hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 11110 15541 22220 31082 62164 77705 155410 170951 310820 341902 683804 854755 1569641 1709510 3139282 3419020 6278564 7848205 15696410 17266051 31392820 34532102 69064204 86330255 172660510 345321020