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345860060 = 225713307619
BaseRepresentation
bin10100100111010…
…110011111011100
3220002210111210212
4110213112133130
51202020010220
654152551552
711366522240
oct2447263734
9802714725
10345860060
11168257867
12979b25b8
1356866a30
1433d10420
152056c0c5
hex149d67dc

345860060 has 96 divisors (see below), whose sum is σ = 898275840. Its totient is φ = 108926208.

The previous prime is 345860027. The next prime is 345860077. The reversal of 345860060 is 60068543.

It is a super-2 number, since 2×3458600602 = 239238362206407200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 345859999 and 345860026.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 558431 + ... + 559049.

It is an arithmetic number, because the mean of its divisors is an integer number (9357040).

Almost surely, 2345860060 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 345860060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449137920).

345860060 is an abundant number, since it is smaller than the sum of its proper divisors (552415780).

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

345860060 is a wasteful number, since it uses less digits than its factorization.

345860060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 345860060 is about 18597.3132468107. The cubic root of 345860060 is about 701.9402361982.

The spelling of 345860060 in words is "three hundred forty-five million, eight hundred sixty thousand, sixty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 307 364 455 614 619 910 1228 1238 1535 1820 2149 2476 3070 3095 3991 4298 4333 6140 6190 7982 8047 8596 8666 10745 12380 15964 16094 17332 19955 21490 21665 27937 32188 39910 40235 42980 43330 55874 56329 79820 80470 86660 111748 112658 139685 160940 190033 225316 279370 281645 380066 558740 563290 760132 950165 1126580 1330231 1900330 2470429 2660462 3800660 4940858 5320924 6651155 9881716 12352145 13302310 17293003 24704290 26604620 34586006 49408580 69172012 86465015 172930030 345860060