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204324040 = 23547251433
BaseRepresentation
bin11000010110110…
…11110011001000
3112020110201220001
430023123303020
5404301332130
632135212344
75030503624
oct1413336310
9466421801
10204324040
11a5376748
12585170b4
133343c4cb
141d1ca184
1512e106ca
hexc2dbcc8

204324040 has 64 divisors (see below), whose sum is σ = 472469760. Its totient is φ = 79488000.

The previous prime is 204324031. The next prime is 204324041. The reversal of 204324040 is 40423402.

204324040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 204323999 and 204324017.

It is not an unprimeable number, because it can be changed into a prime (204324041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 471664 + ... + 472096.

It is an arithmetic number, because the mean of its divisors is an integer number (7382340).

Almost surely, 2204324040 is an apocalyptic number.

204324040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204324040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236234880).

204324040 is an abundant number, since it is smaller than the sum of its proper divisors (268145720).

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

204324040 is a wasteful number, since it uses less digits than its factorization.

204324040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 204324040 is about 14294.1960249606. The cubic root of 204324040 is about 588.9880575578.

Adding to 204324040 its reverse (40423402), we get a palindrome (244747442).

The spelling of 204324040 in words is "two hundred four million, three hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 251 376 433 470 502 866 940 1004 1255 1732 1880 2008 2165 2510 3464 4330 5020 8660 10040 11797 17320 20351 23594 40702 47188 58985 81404 94376 101755 108683 117970 162808 203510 217366 235940 407020 434732 471880 543415 814040 869464 1086830 2173660 4347320 5108101 10216202 20432404 25540505 40864808 51081010 102162020 204324040