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2300424120 = 2332523277829
BaseRepresentation
bin1000100100011101…
…1010111110111000
312221022122122122100
42021013122332320
514202402032440
61020134023400
7111002165601
oct21107327670
95838578570
102300424120
11a80590765
125424a7b60
132a8793207
1417b73cda8
15d6e57230
hex891dafb8

2300424120 has 96 divisors (see below), whose sum is σ = 7801466400. Its totient is φ = 586772736.

The previous prime is 2300424109. The next prime is 2300424149. The reversal of 2300424120 is 214240032.

2300424120 is a `hidden beast` number, since 230 + 0 + 424 + 12 + 0 = 666.

It is a super-2 number, since 2×23004241202 = 10583902263755548800, which contains 22 as substring.

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 = 2300424093 and 2300424102.

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 23 ways as a sum of consecutive naturals, for example, 130635 + ... + 147194.

It is an arithmetic number, because the mean of its divisors is an integer number (81265275).

Almost surely, 22300424120 is an apocalyptic number.

2300424120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2300424120 is an abundant number, since it is smaller than the sum of its proper divisors (5501042280).

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

2300424120 is a wasteful number, since it uses less digits than its factorization.

2300424120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277869 (or 277862 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2300424120 is about 47962.7367859675. The cubic root of 2300424120 is about 1320.0872531855.

Adding to 2300424120 its reverse (214240032), we get a palindrome (2514664152).

The spelling of 2300424120 in words is "two billion, three hundred million, four hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2760 4140 8280 277829 555658 833487 1111316 1389145 1666974 2222632 2500461 2778290 3333948 4167435 5000922 5556580 6390067 6667896 8334870 10001844 11113160 12502305 12780134 16669740 19170201 20003688 25004610 25560268 31950335 33339480 38340402 50009220 51120536 57510603 63900670 76680804 95851005 100018440 115021206 127801340 153361608 191702010 230042412 255602680 287553015 383404020 460084824 575106030 766808040 1150212060 2300424120