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346000417 = 7247150239
BaseRepresentation
bin10100100111111…
…000110000100001
3220010001122100021
4110213320300201
51202034003132
654155553441
711400645400
oct2447706041
9803048307
10346000417
11168343264
1297a5b881
13568b5899
1433d49637
1520598997
hex149f8c21

346000417 has 12 divisors (see below), whose sum is σ = 411056640. Its totient is φ = 290259816.

The previous prime is 346000411. The next prime is 346000427. The reversal of 346000417 is 714000643.

It is not a de Polignac number, because 346000417 - 211 = 345998369 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 346000391 and 346000400.

It is not an unprimeable number, because it can be changed into a prime (346000411) 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 11 ways as a sum of consecutive naturals, for example, 72817 + ... + 77422.

It is an arithmetic number, because the mean of its divisors is an integer number (34254720).

Almost surely, 2346000417 is an apocalyptic number.

It is an amenable number.

346000417 is a deficient number, since it is larger than the sum of its proper divisors (65056223).

346000417 is a wasteful number, since it uses less digits than its factorization.

346000417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150300 (or 150293 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 346000417 is about 18601.0864467643. The cubic root of 346000417 is about 702.0351771995.

The spelling of 346000417 in words is "three hundred forty-six million, four hundred seventeen", and thus it is an aban number.

Divisors: 1 7 47 49 329 2303 150239 1051673 7061233 7361711 49428631 346000417