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434004100 = 225225117291
BaseRepresentation
bin11001110111100…
…110000010000100
31010020122200200221
4121313212002010
51342101112400
6111022114124
713516655035
oct3167460204
91106580627
10434004100
11202a90782
1210141b944
136bbb8c7a
14418d6a8c
152817dc1a
hex19de6084

434004100 has 36 divisors (see below), whose sum is σ = 945595728. Its totient is φ = 172900000.

The previous prime is 434004083. The next prime is 434004113. The reversal of 434004100 is 1400434.

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 11 ways as a sum of consecutive naturals, for example, 16455 + ... + 33745.

It is an arithmetic number, because the mean of its divisors is an integer number (26266548).

Almost surely, 2434004100 is an apocalyptic number.

It is an amenable number.

434004100 is an abundant number, since it is smaller than the sum of its proper divisors (511591628).

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

434004100 is a wasteful number, since it uses less digits than its factorization.

434004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17556 (or 17549 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 434004100 is about 20832.7650589162. The cubic root of 434004100 is about 757.1198119755.

Adding to 434004100 its reverse (1400434), we get a palindrome (435404534).

The spelling of 434004100 in words is "four hundred thirty-four million, four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 251 502 1004 1255 2510 5020 6275 12550 17291 25100 34582 69164 86455 172910 345820 432275 864550 1729100 4340041 8680082 17360164 21700205 43400410 86800820 108501025 217002050 434004100