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345664242 = 232711249397
BaseRepresentation
bin10100100110100…
…110101011110010
3220002102120012100
4110212212223302
51201442223432
654144441230
711365045320
oct2446465362
9802376170
10345664242
11168133730
1297919216
13567c8871
1433c9cd10
152052e07c
hex149a6af2

345664242 has 48 divisors (see below), whose sum is σ = 933746112. Its totient is φ = 89782560.

The previous prime is 345664237. The next prime is 345664259. The reversal of 345664242 is 242466543.

345664242 is a `hidden beast` number, since 3 + 4 + 5 + 6 + 642 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 345664197 and 345664206.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123313 + ... + 126084.

It is an arithmetic number, because the mean of its divisors is an integer number (19453044).

Almost surely, 2345664242 is an apocalyptic number.

345664242 is an abundant number, since it is smaller than the sum of its proper divisors (588081870).

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

345664242 is a wasteful number, since it uses less digits than its factorization.

345664242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249423 (or 249420 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 345664242 is about 18592.0478162036. The cubic root of 345664242 is about 701.8077370576.

The spelling of 345664242 in words is "three hundred forty-five million, six hundred sixty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 249397 498794 748191 1496382 1745779 2244573 2743367 3491558 4489146 5237337 5486734 8230101 10474674 15712011 16460202 19203569 24690303 31424022 38407138 49380606 57610707 115221414 172832121 345664242