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2345103420 = 22351121719001
BaseRepresentation
bin1000101111000111…
…0111000000111100
320001102201121010020
42023301313000330
514300321302140
61024411412140
7112054023132
oct21361670074
96042647106
102345103420
11aa3827a00
12555454050
132b4b0787a
1418364d752
15dad306d0
hex8bc7703c

2345103420 has 144 divisors (see below), whose sum is σ = 7642452384. Its totient is φ = 535040000.

The previous prime is 2345103419. The next prime is 2345103451. The reversal of 2345103420 is 243015432.

2345103420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113920 + ... + 132920.

It is an arithmetic number, because the mean of its divisors is an integer number (53072586).

Almost surely, 22345103420 is an apocalyptic number.

2345103420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2345103420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3821226192).

2345103420 is an abundant number, since it is smaller than the sum of its proper divisors (5297348964).

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

2345103420 is a wasteful number, since it uses less digits than its factorization.

2345103420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19052 (or 19039 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2345103420 is about 48426.2678718895. The cubic root of 2345103420 is about 1328.5788464313.

Adding to 2345103420 its reverse (243015432), we get a palindrome (2588118852).

The spelling of 2345103420 in words is "two billion, three hundred forty-five million, one hundred three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 121 132 165 170 187 204 220 242 255 330 340 363 374 484 510 561 605 660 726 748 935 1020 1122 1210 1452 1815 1870 2057 2244 2420 2805 3630 3740 4114 5610 6171 7260 8228 10285 11220 12342 19001 20570 24684 30855 38002 41140 57003 61710 76004 95005 114006 123420 190010 209011 228012 285015 323017 380020 418022 570030 627033 646034 836044 969051 1045055 1140060 1254066 1292068 1615085 1938102 2090110 2299121 2508132 3135165 3230170 3553187 3876204 4180220 4598242 4845255 6270330 6460340 6897363 7106374 9196484 9690510 10659561 11495605 12540660 13794726 14212748 17765935 19381020 21319122 22991210 27589452 34486815 35531870 39085057 42638244 45982420 53297805 68973630 71063740 78170114 106595610 117255171 137947260 156340228 195425285 213191220 234510342 390850570 469020684 586275855 781701140 1172551710 2345103420