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345022300 = 225274710487
BaseRepresentation
bin10100100100001…
…001111101011100
3220001012221121201
4110210021331130
51201311203200
654123005244
711356432630
oct2444117534
9801187551
10345022300
111678353a7
1297669824
135663260c
1433b72dc0
1520453c6a
hex14909f5c

345022300 has 72 divisors (see below), whose sum is σ = 873944064. Its totient is φ = 115765440.

The previous prime is 345022267. The next prime is 345022303. The reversal of 345022300 is 3220543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345022303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27657 + ... + 38143.

It is an arithmetic number, because the mean of its divisors is an integer number (12138112).

Almost surely, 2345022300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345022300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436972032).

345022300 is an abundant number, since it is smaller than the sum of its proper divisors (528921764).

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

345022300 is a wasteful number, since it uses less digits than its factorization.

345022300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10555 (or 10548 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 345022300 is about 18574.7759071274. The cubic root of 345022300 is about 701.3730194073.

Adding to 345022300 its reverse (3220543), we get a palindrome (348242843).

The spelling of 345022300 in words is "three hundred forty-five million, twenty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 47 50 70 94 100 140 175 188 235 329 350 470 658 700 940 1175 1316 1645 2350 3290 4700 6580 8225 10487 16450 20974 32900 41948 52435 73409 104870 146818 209740 262175 293636 367045 492889 524350 734090 985778 1048700 1468180 1835225 1971556 2464445 3450223 3670450 4928890 6900446 7340900 9857780 12322225 13800892 17251115 24644450 34502230 49288900 69004460 86255575 172511150 345022300