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414122104 = 231121122303
BaseRepresentation
bin11000101011110…
…000000001111000
31001212020120201201
4120223300001320
51322003401404
6105032023544
713155660034
oct3053600170
91055216651
10414122104
111a2841080
12b6831bb4
1367a47486
143cddd1c4
1526552ca4
hex18af0078

414122104 has 32 divisors (see below), whose sum is σ = 851120640. Its totient is φ = 187336800.

The previous prime is 414122083. The next prime is 414122147. The reversal of 414122104 is 401221414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7417 + ... + 29719.

It is an arithmetic number, because the mean of its divisors is an integer number (26597520).

Almost surely, 2414122104 is an apocalyptic number.

414122104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

414122104 is an abundant number, since it is smaller than the sum of its proper divisors (436998536).

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

414122104 is a wasteful number, since it uses less digits than its factorization.

414122104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22531 (or 22527 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 414122104 is about 20349.9902702679. The cubic root of 414122104 is about 745.3772567933.

Adding to 414122104 its reverse (401221414), we get a palindrome (815343518).

The spelling of 414122104 in words is "four hundred fourteen million, one hundred twenty-two thousand, one hundred four".

Divisors: 1 2 4 8 11 22 44 88 211 422 844 1688 2321 4642 9284 18568 22303 44606 89212 178424 245333 490666 981332 1962664 4705933 9411866 18823732 37647464 51765263 103530526 207061052 414122104