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30984258420 = 22325414198409
BaseRepresentation
bin11100110110110011…
…100100001101110100
32221222100100102002200
4130312303210031310
51001423432232140
622122312104500
72144550564633
oct346663441564
987870312080
1030984258420
111215a895a45
126008695130
132bca28022b
1416dd05951a
15c1524b030
hex736ce4374

30984258420 has 72 divisors (see below), whose sum is σ = 96277938120. Its totient is φ = 8060943360.

The previous prime is 30984258377. The next prime is 30984258439. The reversal of 30984258420 is 2485248903.

30984258420 is a `hidden beast` number, since 3 + 0 + 9 + 8 + 42 + 584 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4049540496 + 26934717924 = 63636^2 + 164118^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 2091825 + ... + 2106584.

It is an arithmetic number, because the mean of its divisors is an integer number (1337193585).

Almost surely, 230984258420 is an apocalyptic number.

30984258420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30984258420 is an abundant number, since it is smaller than the sum of its proper divisors (65293679700).

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

30984258420 is a wasteful number, since it uses less digits than its factorization.

30984258420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4198465 (or 4198460 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 30984258420 in words is "thirty billion, nine hundred eighty-four million, two hundred fifty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 4198409 8396818 12595227 16793636 20992045 25190454 37785681 41984090 50380908 62976135 75571362 83968180 125952270 151142724 172134769 188928405 251904540 344269538 377856810 516404307 688539076 755713620 860673845 1032808614 1549212921 1721347690 2065617228 2582021535 3098425842 3442695380 5164043070 6196851684 7746064605 10328086140 15492129210 30984258420