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1345308030 = 2325116122277
BaseRepresentation
bin101000000101111…
…1100010101111110
310110202102201200100
41100023330111332
510223344324110
6341254341530
745223633563
oct12013742576
93422381610
101345308030
11630433920
1231665a8a6
1318593c871
14ca95686a
157d18ebc0
hex502fc57e

1345308030 has 96 divisors (see below), whose sum is σ = 3878510688. Its totient is φ = 320774400.

The previous prime is 1345308017. The next prime is 1345308047. The reversal of 1345308030 is 308035431.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1345307985 and 1345308003.

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 47 ways as a sum of consecutive naturals, for example, 49252 + ... + 71528.

It is an arithmetic number, because the mean of its divisors is an integer number (40401153).

Almost surely, 21345308030 is an apocalyptic number.

1345308030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1345308030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1939255344).

1345308030 is an abundant number, since it is smaller than the sum of its proper divisors (2533202658).

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

1345308030 is a wasteful number, since it uses less digits than its factorization.

1345308030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22362 (or 22359 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1345308030 is about 36678.4409428754. The cubic root of 1345308030 is about 1103.9275659392.

The spelling of 1345308030 in words is "one billion, three hundred forty-five million, three hundred eight thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 61 66 90 99 110 122 165 183 198 305 330 366 495 549 610 671 915 990 1098 1342 1830 2013 2745 3355 4026 5490 6039 6710 10065 12078 20130 22277 30195 44554 60390 66831 111385 133662 200493 222770 245047 334155 400986 490094 668310 735141 1002465 1225235 1358897 1470282 2004930 2205423 2450470 2717794 3675705 4076691 4410846 6794485 7351410 8153382 11027115 12230073 13588970 14947867 20383455 22054230 24460146 29895734 40766910 44843601 61150365 74739335 89687202 122300730 134530803 149478670 224218005 269061606 448436010 672654015 1345308030