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349101357 = 31110578829
BaseRepresentation
bin10100110011101…
…101110100101101
3220022220012000220
4110303231310231
51203332220412
654350241553
711436212133
oct2463556455
9808805026
10349101357
1116a071020
1298ab62b9
1357430167
1434515753
15209ac68c
hex14cedd2d

349101357 has 8 divisors (see below), whose sum is σ = 507783840. Its totient is φ = 211576560.

The previous prime is 349101331. The next prime is 349101359. The reversal of 349101357 is 753101943.

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

It is not a de Polignac number, because 349101357 - 27 = 349101229 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 10578829 = 349101357 / (3 + 4 + 9 + 1 + 0 + 1 + 3 + 5 + 7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349101359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5289382 + ... + 5289447.

It is an arithmetic number, because the mean of its divisors is an integer number (63472980).

Almost surely, 2349101357 is an apocalyptic number.

It is an amenable number.

349101357 is a deficient number, since it is larger than the sum of its proper divisors (158682483).

349101357 is a wasteful number, since it uses less digits than its factorization.

349101357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10578843.

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 349101357 is about 18684.2542532476. The cubic root of 349101357 is about 704.1262128708.

The spelling of 349101357 in words is "three hundred forty-nine million, one hundred one thousand, three hundred fifty-seven".

Divisors: 1 3 11 33 10578829 31736487 116367119 349101357