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414334004 = 22722113949
BaseRepresentation
bin11000101100100…
…011110000110100
31001212122100101212
4120230203300310
51322032142004
6105040340552
713160531600
oct3054436064
91055570355
10414334004
111a29762a7
12b6914758
1367abca66
143d056500
152659596e
hex18b23c34

414334004 has 18 divisors (see below), whose sum is σ = 843466050. Its totient is φ = 177571632.

The previous prime is 414334001. The next prime is 414334027. The reversal of 414334004 is 400433414.

It can be written as a sum of positive squares in only one way, i.e., 412090000 + 2244004 = 20300^2 + 1498^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414334001) 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 5 ways as a sum of consecutive naturals, for example, 1056779 + ... + 1057170.

It is an arithmetic number, because the mean of its divisors is an integer number (46859225).

Almost surely, 2414334004 is an apocalyptic number.

It is an amenable number.

414334004 is an abundant number, since it is smaller than the sum of its proper divisors (429132046).

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

414334004 is a wasteful number, since it uses less digits than its factorization.

414334004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2113967 (or 2113958 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 414334004 is about 20355.1959951262. The cubic root of 414334004 is about 745.5043678614.

Adding to 414334004 its reverse (400433414), we get a palindrome (814767418).

The spelling of 414334004 in words is "four hundred fourteen million, three hundred thirty-four thousand, four".

Divisors: 1 2 4 7 14 28 49 98 196 2113949 4227898 8455796 14797643 29595286 59190572 103583501 207167002 414334004