Search a number
-
+
204000744 = 23328612971
BaseRepresentation
bin11000010100011…
…00110111101000
3112012212022102010
430022030313220
5404211010434
632124235520
75024656233
oct1412146750
9465768363
10204000744
11a5175862
125839bba0
13333582cc
141d14441a
1512d999e9
hexc28cde8

204000744 has 32 divisors (see below), whose sum is σ = 510351840. Its totient is φ = 67953600.

The previous prime is 204000733. The next prime is 204000749. The reversal of 204000744 is 447000402.

It is a super-4 number, since 4×2040007444 (a number of 34 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a self number, because there is not a number n which added to its sum of digits gives 204000744.

It is not an unprimeable number, because it can be changed into a prime (204000749) by changing a digit.

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, 67179 + ... + 70149.

It is an arithmetic number, because the mean of its divisors is an integer number (15948495).

Almost surely, 2204000744 is an apocalyptic number.

204000744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

204000744 is an abundant number, since it is smaller than the sum of its proper divisors (306351096).

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

204000744 is a wasteful number, since it uses less digits than its factorization.

204000744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5841 (or 5837 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 204000744 is about 14282.8829022715. The cubic root of 204000744 is about 588.6772473334.

It can be divided in two parts, 20400074 and 4, that added together give a triangular number (20400078 = T6387).

The spelling of 204000744 in words is "two hundred four million, seven hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 24 2861 2971 5722 5942 8583 8913 11444 11884 17166 17826 22888 23768 34332 35652 68664 71304 8500031 17000062 25500093 34000124 51000186 68000248 102000372 204000744