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30400230420 = 2233578042389
BaseRepresentation
bin11100010011111111…
…101011010000010100
32220110122101201022000
4130103333223100110
5444224424333140
621544330235300
72124226460250
oct342377532024
986418351260
1030400230420
111199015707a
125a84b85b30
132b36287531
14168566d260
15bcdd35a30
hex713feb414

30400230420 has 96 divisors (see below), whose sum is σ = 108089721600. Its totient is φ = 6948623232.

The previous prime is 30400230361. The next prime is 30400230439. The reversal of 30400230420 is 2403200403.

30400230420 is a `hidden beast` number, since 30 + 400 + 230 + 4 + 2 + 0 = 666.

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 = 30400230393 and 30400230402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4017415 + ... + 4024974.

It is an arithmetic number, because the mean of its divisors is an integer number (1125934600).

Almost surely, 230400230420 is an apocalyptic number.

30400230420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30400230420 is an abundant number, since it is smaller than the sum of its proper divisors (77689491180).

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

30400230420 is a wasteful number, since it uses less digits than its factorization.

30400230420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8042414 (or 8042406 counting only the distinct ones).

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

Adding to 30400230420 its reverse (2403200403), we get a palindrome (32803430823).

The spelling of 30400230420 in words is "thirty billion, four hundred million, two hundred thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 8042389 16084778 24127167 32169556 40211945 48254334 56296723 72381501 80423890 96508668 112593446 120635835 144763002 160847780 168890169 217144503 225186892 241271670 281483615 289526004 337780338 361907505 434289006 482543340 506670507 562967230 675560676 723815010 844450845 868578012 1013341014 1085722515 1125934460 1447630020 1520011521 1688901690 2026682028 2171445030 2533352535 3040023042 3377803380 4342890060 5066705070 6080046084 7600057605 10133410140 15200115210 30400230420