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345136360 = 23541389541
BaseRepresentation
bin10100100100100…
…101110011101000
3220001102202002011
4110210211303220
51201323330420
654125245304
711360416312
oct2444456350
9801382064
10345136360
11167903068
1297703834
13566724ca
1433ba27b2
152047795a
hex14925ce8

345136360 has 64 divisors (see below), whose sum is σ = 799016400. Its totient is φ = 134092800.

The previous prime is 345136357. The next prime is 345136373. The reversal of 345136360 is 63631543.

It can be written as a sum of positive squares in 8 ways, for example, as 19766916 + 325369444 = 4446^2 + 18038^2 .

It is a super-3 number, since 3×3451363603 (a number of 27 digits) contains 333 as substring.

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, 637690 + ... + 638230.

Almost surely, 2345136360 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 345136360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399508200).

345136360 is an abundant number, since it is smaller than the sum of its proper divisors (453880040).

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

345136360 is a wasteful number, since it uses less digits than its factorization.

345136360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 31.

The square root of 345136360 is about 18577.8459461801. The cubic root of 345136360 is about 701.4502992360.

The spelling of 345136360 in words is "three hundred forty-five million, one hundred thirty-six thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 389 410 541 778 820 1082 1556 1640 1945 2164 2705 3112 3890 4328 5410 7780 10820 15560 15949 21640 22181 31898 44362 63796 79745 88724 110905 127592 159490 177448 210449 221810 318980 420898 443620 637960 841796 887240 1052245 1683592 2104490 4208980 8417960 8628409 17256818 34513636 43142045 69027272 86284090 172568180 345136360