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345663340 = 225116612377
BaseRepresentation
bin10100100110100…
…110011101101100
3220002102111221221
4110212212131230
51201442211330
654144433124
711365042561
oct2446463554
9802374857
10345663340
11168132a90
12979187a4
13567c8329
1433c9c868
152052db7a
hex149a676c

345663340 has 48 divisors (see below), whose sum is σ = 793414944. Its totient is φ = 125452800.

The previous prime is 345663323. The next prime is 345663349. The reversal of 345663340 is 43366543.

It is a junction number, because it is equal to n+sod(n) for n = 345663296 and 345663305.

It is not an unprimeable number, because it can be changed into a prime (345663349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144232 + ... + 146608.

It is an arithmetic number, because the mean of its divisors is an integer number (16529478).

Almost surely, 2345663340 is an apocalyptic number.

It is an amenable number.

345663340 is an abundant number, since it is smaller than the sum of its proper divisors (447751604).

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

345663340 is a wasteful number, since it uses less digits than its factorization.

345663340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3058 (or 3056 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 34.

The square root of 345663340 is about 18592.0235585049. The cubic root of 345663340 is about 701.8071266086.

The spelling of 345663340 in words is "three hundred forty-five million, six hundred sixty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 661 1322 2377 2644 3305 4754 6610 7271 9508 11885 13220 14542 23770 26147 29084 36355 47540 52294 72710 104588 130735 145420 261470 522940 1571197 3142394 6284788 7855985 15711970 17283167 31423940 34566334 69132668 86415835 172831670 345663340