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1345466820 = 2235211106277
BaseRepresentation
bin101000000110010…
…0011000111000100
310110202201210111110
41100030203013010
510223414414240
6341302005020
745225164535
oct12014430704
93422653443
101345466820
11630532155
12316716770
13185996c19
14ca99868c
157d1c1c80
hex503231c4

1345466820 has 48 divisors (see below), whose sum is σ = 3785197248. Its totient is φ = 357087360.

The previous prime is 1345466797. The next prime is 1345466849. The reversal of 1345466820 is 286645431.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 40479 + ... + 65798.

It is an arithmetic number, because the mean of its divisors is an integer number (78858276).

Almost surely, 21345466820 is an apocalyptic number.

1345466820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1345466820 is an abundant number, since it is smaller than the sum of its proper divisors (2439730428).

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

1345466820 is a wasteful number, since it uses less digits than its factorization.

1345466820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106500 (or 106498 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 1345466820 is about 36680.6055020906. The cubic root of 1345466820 is about 1103.9709973215.

The spelling of 1345466820 in words is "one billion, three hundred forty-five million, four hundred sixty-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 211 422 633 844 1055 1266 2110 2532 3165 4220 6330 12660 106277 212554 318831 425108 531385 637662 1062770 1275324 1594155 2125540 3188310 6376620 22424447 44848894 67273341 89697788 112122235 134546682 224244470 269093364 336366705 448488940 672733410 1345466820