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345643060 = 22572192977
BaseRepresentation
bin10100100110100…
…001100000110100
3220002101111010211
4110212201200310
51201441034220
654144155204
711364626500
oct2446414064
9802344124
10345643060
11168119824
1297908b04
13567bc029
1433c95300
1520527b5a
hex149a1834

345643060 has 108 divisors (see below), whose sum is σ = 892047492. Its totient is φ = 112154112.

The previous prime is 345643049. The next prime is 345643097. The reversal of 345643060 is 60346543.

It can be written as a sum of positive squares in 2 ways, for example, as 238023184 + 107619876 = 15428^2 + 10374^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 353292 + ... + 354268.

It is an arithmetic number, because the mean of its divisors is an integer number (8259699).

Almost surely, 2345643060 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 345643060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446023746).

345643060 is an abundant number, since it is smaller than the sum of its proper divisors (546404432).

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

345643060 is a wasteful number, since it uses less digits than its factorization.

345643060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

The square root of 345643060 is about 18591.4781553270. The cubic root of 345643060 is about 701.7934013783.

The spelling of 345643060 in words is "three hundred forty-five million, six hundred forty-three thousand, sixty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 133 140 190 196 245 266 361 380 490 532 665 722 931 977 980 1330 1444 1805 1862 1954 2527 2660 3610 3724 3908 4655 4885 5054 6839 7220 9310 9770 10108 12635 13678 17689 18563 18620 19540 25270 27356 34195 35378 37126 47873 50540 68390 70756 74252 88445 92815 95746 129941 136780 176890 185630 191492 239365 259882 352697 353780 371260 478730 519764 649705 705394 909587 957460 1299410 1410788 1763485 1819174 2468879 2598820 3526970 3638348 4547935 4937758 7053940 9095870 9875516 12344395 17282153 18191740 24688790 34564306 49377580 69128612 86410765 172821530 345643060