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345320680 = 23567269479
BaseRepresentation
bin10100100101010…
…010110011101000
3220001210002220211
4110211102303220
51201400230210
654133230504
711362114555
oct2445226350
9801702824
10345320680
11167a195a1
1297792434
1356708383
1433c0da2c
15204b238a
hex14952ce8

345320680 has 64 divisors (see below), whose sum is σ = 793152000. Its totient is φ = 135277824.

The previous prime is 345320663. The next prime is 345320713. The reversal of 345320680 is 86023543.

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 15 ways as a sum of consecutive naturals, for example, 720681 + ... + 721159.

It is an arithmetic number, because the mean of its divisors is an integer number (12393000).

Almost surely, 2345320680 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 345320680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396576000).

345320680 is an abundant number, since it is smaller than the sum of its proper divisors (447831320).

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

345320680 is a wasteful number, since it uses less digits than its factorization.

345320680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 345320680 is about 18582.8060313829. The cubic root of 345320680 is about 701.5751468083.

The spelling of 345320680 in words is "three hundred forty-five million, three hundred twenty thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 269 335 479 536 538 670 958 1076 1340 1345 1916 2152 2395 2680 2690 3832 4790 5380 9580 10760 18023 19160 32093 36046 64186 72092 90115 128372 128851 144184 160465 180230 256744 257702 320930 360460 515404 641860 644255 720920 1030808 1283720 1288510 2577020 5154040 8633017 17266034 34532068 43165085 69064136 86330170 172660340 345320680