Search a number
-
+
30677264000 = 27531917329
BaseRepresentation
bin11100100100100000…
…011110011010000000
32221011221200110220222
4130210200132122000
51000311334422000
622032024122212
72134132304315
oct344440363200
987157613828
1030677264000
1112012574549
125b41906368
132b7b7a3926
1416b0384d0c
15be8309a85
hex72481e680

30677264000 has 64 divisors (see below), whose sum is σ = 76271387400. Its totient is φ = 12270899200.

The previous prime is 30677263957. The next prime is 30677264021. The reversal of 30677264000 is 46277603.

It can be written as a sum of positive squares in 4 ways, for example, as 1921244224 + 28756019776 = 43832^2 + 169576^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 942665 + ... + 974664.

Almost surely, 230677264000 is an apocalyptic number.

It is an amenable number.

30677264000 is an abundant number, since it is smaller than the sum of its proper divisors (45594123400).

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

30677264000 is an equidigital number, since it uses as much as digits as its factorization.

30677264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917358 (or 1917336 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 35.

The spelling of 30677264000 in words is "thirty billion, six hundred seventy-seven million, two hundred sixty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 1917329 3834658 7669316 9586645 15338632 19173290 30677264 38346580 47933225 61354528 76693160 95866450 122709056 153386320 191732900 239666125 245418112 306772640 383465800 479332250 613545280 766931600 958664500 1227090560 1533863200 1917329000 3067726400 3834658000 6135452800 7669316000 15338632000 30677264000