349504 has 28 divisors (see below), whose sum is σ = 715264. Its totient is φ = 169344.

The previous prime is 349499. The next prime is 349507. The reversal of 349504 is 405943.

349504 = T_{1} + T_{2} + ... +
T_{127}.

349504 is a nontrivial binomial coefficient, being equal to C(129, 3).

349504 is an admirable number.

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349507) by changing a digit.

It is the 127-th tetrahedral number.

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 3 ways as a sum of consecutive naturals, for example, 2689 + ... + 2815.

2^{349504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357632).

349504 is an abundant number, since it is smaller than the sum of its proper divisors (365760).

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

349504 is a wasteful number, since it uses less digits than its factorization.

349504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 349504 is about 591.1886331790. The cubic root of 349504 is about 70.4396814858.

The spelling of 349504 in words is "three hundred forty-nine thousand, five hundred four".

Divisors: 1 2 4 8 16 32 43 64 86 127 172 254 344 508 688 1016 1376 2032 2752 4064 5461 8128 10922 21844 43688 87376 174752 349504

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