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414094104 = 23325751307
BaseRepresentation
bin11000101011101…
…001001100011000
31001212012011022200
4120223221030120
51322002002404
6105031250200
713155512304
oct3053511430
91055164280
10414094104
111a2822036
12b6819960
1367a377c8
143cdd2d04
1526549839
hex18ae9318

414094104 has 24 divisors (see below), whose sum is σ = 1121505060. Its totient is φ = 138031344.

The previous prime is 414094099. The next prime is 414094147. The reversal of 414094104 is 401490414.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 2875582 + ... + 2875725.

Almost surely, 2414094104 is an apocalyptic number.

It is an amenable number.

414094104 is an abundant number, since it is smaller than the sum of its proper divisors (707410956).

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

414094104 is a wasteful number, since it uses less digits than its factorization.

414094104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5751319 (or 5751312 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 414094104 is about 20349.3022976219. The cubic root of 414094104 is about 745.3604573732.

The spelling of 414094104 in words is "four hundred fourteen million, ninety-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5751307 11502614 17253921 23005228 34507842 46010456 51761763 69015684 103523526 138031368 207047052 414094104