Search a number
-
+
30536676 = 22343072
BaseRepresentation
bin111010001111…
…1001111100100
32010110102110000
41310133033210
530304133201
63010301300
7520362132
oct164371744
963412400
1030536676
1116267725
12a287830
136432351
1440ac752
152a32d86
hex1d1f3e4

30536676 has 45 divisors (see below), whose sum is σ = 80089779. Its totient is φ = 10145736.

The previous prime is 30536633. The next prime is 30536687. The reversal of 30536676 is 67663503.

The square root of 30536676 is 5526.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×305366762 = 1864977162257952, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30536676.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 99315 + ... + 99621.

Almost surely, 230536676 is an apocalyptic number.

30536676 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

30536676 is the 5526-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30536676

30536676 is an abundant number, since it is smaller than the sum of its proper divisors (49553103).

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

30536676 is an equidigital number, since it uses as much as digits as its factorization.

30536676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The cubic root of 30536676 is about 312.5651738200.

Multiplying 30536676 by its sum of digits (36), we get a square (1099320336 = 331562).

30536676 divided by its sum of digits (36) gives a square (848241 = 9212).

The spelling of 30536676 in words is "thirty million, five hundred thirty-six thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 307 324 614 921 1228 1842 2763 3684 5526 8289 11052 16578 24867 33156 49734 94249 99468 188498 282747 376996 565494 848241 1130988 1696482 2544723 3392964 5089446 7634169 10178892 15268338 30536676