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2430003420 = 22325131038463
BaseRepresentation
bin1001000011010110…
…1110100011011100
320021100110222000200
42100311232203130
514434040102140
61041043223500
7114134455035
oct22065564334
96240428020
102430003420
111037745599
12579977b90
132c9592360
14190a2da8c
15e3501030
hex90d6e8dc

2430003420 has 72 divisors (see below), whose sum is σ = 7938018816. Its totient is φ = 598154112.

The previous prime is 2430003311. The next prime is 2430003427. The reversal of 2430003420 is 243000342.

2430003420 is a `hidden beast` number, since 24 + 300 + 0 + 342 + 0 = 666.

2430003420 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2430003393 and 2430003402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2430003427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 516892 + ... + 521571.

Almost surely, 22430003420 is an apocalyptic number.

2430003420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2430003420 is an abundant number, since it is smaller than the sum of its proper divisors (5508015396).

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

2430003420 is a wasteful number, since it uses less digits than its factorization.

2430003420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038491 (or 1038486 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2430003420 is about 49295.0648645481. The cubic root of 2430003420 is about 1344.4220546831.

Adding to 2430003420 its reverse (243000342), we get a palindrome (2673003762).

The spelling of 2430003420 in words is "two billion, four hundred thirty million, three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 1038463 2076926 3115389 4153852 5192315 6230778 9346167 10384630 12461556 13500019 15576945 18692334 20769260 27000038 31153890 37384668 40500057 46730835 54000076 62307780 67500095 81000114 93461670 121500171 135000190 162000228 186923340 202500285 243000342 270000380 405000570 486000684 607500855 810001140 1215001710 2430003420