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345434022 = 232192921201
BaseRepresentation
bin10100100101101…
…110011110100110
3220001222212101200
4110211232132212
51201412342042
654135503330
711363066163
oct2445563646
9801885350
10345434022
11167a9676a
1297827b46
1356747b3b
1433c3d06a
15204d5c4c
hex1496e7a6

345434022 has 72 divisors (see below), whose sum is σ = 816614760. Its totient is φ = 105235200.

The previous prime is 345433997. The next prime is 345434053. The reversal of 345434022 is 220434543.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 287022 + ... + 288222.

Almost surely, 2345434022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345434022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408307380).

345434022 is an abundant number, since it is smaller than the sum of its proper divisors (471180738).

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

345434022 is a wasteful number, since it uses less digits than its factorization.

345434022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 345434022 is about 18585.8554282551. The cubic root of 345434022 is about 701.6518959834.

Adding to 345434022 its reverse (220434543), we get a palindrome (565868565).

The spelling of 345434022 in words is "three hundred forty-five million, four hundred thirty-four thousand, twenty-two".

Divisors: 1 2 3 6 9 18 19 29 38 57 58 87 114 171 174 261 342 522 551 841 1102 1201 1653 1682 2402 2523 3306 3603 4959 5046 7206 7569 9918 10809 15138 15979 21618 22819 31958 34829 45638 47937 68457 69658 95874 104487 136914 143811 205371 208974 287622 313461 410742 626922 661751 1010041 1323502 1985253 2020082 3030123 3970506 5955759 6060246 9090369 11911518 18180738 19190779 38381558 57572337 115144674 172717011 345434022