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204340104 = 23332513769
BaseRepresentation
bin11000010110111…
…11101110001000
3112020111112221000
430023133232020
5404302340404
632135415000
75030601513
oct1413375610
9466445830
10204340104
11a5387821
1258524460
1333446907
141d1d1d7a
1512e15339
hexc2dfb88

204340104 has 64 divisors (see below), whose sum is σ = 570024000. Its totient is φ = 67824000.

The previous prime is 204340093. The next prime is 204340111. The reversal of 204340104 is 401043402.

It is a super-5 number, since 5×2043401045 (a number of 43 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52332 + ... + 56100.

It is an arithmetic number, because the mean of its divisors is an integer number (8906625).

Almost surely, 2204340104 is an apocalyptic number.

204340104 is a gapful number since it is divisible by the number (24) 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 204340104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285012000).

204340104 is an abundant number, since it is smaller than the sum of its proper divisors (365683896).

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

204340104 is a wasteful number, since it uses less digits than its factorization.

204340104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4035 (or 4025 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 204340104 is about 14294.7579203007. The cubic root of 204340104 is about 589.0034926092.

Adding to 204340104 its reverse (401043402), we get a palindrome (605383506).

The spelling of 204340104 in words is "two hundred four million, three hundred forty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 251 502 753 1004 1506 2008 2259 3012 3769 4518 6024 6777 7538 9036 11307 13554 15076 18072 22614 27108 30152 33921 45228 54216 67842 90456 101763 135684 203526 271368 407052 814104 946019 1892038 2838057 3784076 5676114 7568152 8514171 11352228 17028342 22704456 25542513 34056684 51085026 68113368 102170052 204340104