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34357409 = 531574129
BaseRepresentation
bin1000001100010…
…0000010100001
32101122112111122
42003010002201
532243414114
63224222025
7565014242
oct203040241
971575448
1034357409
1118437259
12b60a915
13716c438
1447c4cc9
153039e8e
hex20c40a1

34357409 has 8 divisors (see below), whose sum is σ = 35237160. Its totient is φ = 33486336.

The previous prime is 34357381. The next prime is 34357429. The reversal of 34357409 is 90475343.

It can be written as a sum of positive squares in 4 ways, for example, as 5895184 + 28462225 = 2428^2 + 5335^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34357409 - 220 = 33308833 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34357429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6257 + ... + 10385.

It is an arithmetic number, because the mean of its divisors is an integer number (4404645).

Almost surely, 234357409 is an apocalyptic number.

It is an amenable number.

34357409 is a deficient number, since it is larger than the sum of its proper divisors (879751).

34357409 is a wasteful number, since it uses less digits than its factorization.

34357409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4339.

The product of its (nonzero) digits is 45360, while the sum is 35.

The square root of 34357409 is about 5861.5193422866. The cubic root of 34357409 is about 325.0923887240.

The spelling of 34357409 in words is "thirty-four million, three hundred fifty-seven thousand, four hundred nine".

Divisors: 1 53 157 4129 8321 218837 648253 34357409