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343105020 = 223251906139
BaseRepresentation
bin10100011100110…
…101110111111100
3212220121112121100
4110130311313330
51200313330040
654013533100
711334226116
oct2434656774
9786545540
10343105020
11166745975
1296aa4190
1356110a2b
14337d43b6
15201c5b30
hex14735dfc

343105020 has 36 divisors (see below), whose sum is σ = 1040752440. Its totient is φ = 91494624.

The previous prime is 343105019. The next prime is 343105027. The reversal of 343105020 is 20501343.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 343104984 and 343105002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343105027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 952890 + ... + 953249.

It is an arithmetic number, because the mean of its divisors is an integer number (28909790).

Almost surely, 2343105020 is an apocalyptic number.

343105020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

343105020 is an abundant number, since it is smaller than the sum of its proper divisors (697647420).

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

343105020 is a wasteful number, since it uses less digits than its factorization.

343105020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906154 (or 1906149 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 343105020 is about 18523.0942339556. The cubic root of 343105020 is about 700.0714348867.

Adding to 343105020 its reverse (20501343), we get a palindrome (363606363).

The spelling of 343105020 in words is "three hundred forty-three million, one hundred five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1906139 3812278 5718417 7624556 9530695 11436834 17155251 19061390 22873668 28592085 34310502 38122780 57184170 68621004 85776255 114368340 171552510 343105020