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346220240 = 24512773389
BaseRepresentation
bin10100101000101…
…110011011010000
3220010110210212212
4110220232123100
51202113021430
654204411252
711402552312
oct2450563320
9803423785
10346220240
11168483433
1297b46b28
1356961962
1433da57b2
15205ddb95
hex14a2e6d0

346220240 has 40 divisors (see below), whose sum is σ = 805830120. Its totient is φ = 138338816.

The previous prime is 346220233. The next prime is 346220263. The reversal of 346220240 is 42022643.

It can be written as a sum of positive squares in 4 ways, for example, as 146506816 + 199713424 = 12104^2 + 14132^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100466 + ... + 103854.

It is an arithmetic number, because the mean of its divisors is an integer number (20145753).

Almost surely, 2346220240 is an apocalyptic number.

It is an amenable number.

346220240 is an abundant number, since it is smaller than the sum of its proper divisors (459609880).

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

346220240 is a wasteful number, since it uses less digits than its factorization.

346220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4679 (or 4673 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 346220240 is about 18606.9943838332. The cubic root of 346220240 is about 702.1838194177.

Adding to 346220240 its reverse (42022643), we get a palindrome (388242883).

The spelling of 346220240 in words is "three hundred forty-six million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1277 2554 3389 5108 6385 6778 10216 12770 13556 16945 20432 25540 27112 33890 51080 54224 67780 102160 135560 271120 4327753 8655506 17311012 21638765 34622024 43277530 69244048 86555060 173110120 346220240