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350080 = 275547
BaseRepresentation
bin1010101011110000000
3122210012221
41111132000
542200310
611300424
72655433
oct1253600
9583187
10350080
1121a025
1214a714
13c3463
149181a
156dada
hex55780

350080 has 32 divisors (see below), whose sum is σ = 838440. Its totient is φ = 139776.

The previous prime is 350039. The next prime is 350087. The reversal of 350080 is 80053.

350080 is nontrivially palindromic in base 3.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350087) by changing a digit.

350080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 367 + ... + 913.

2350080 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 350080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419220).

350080 is an abundant number, since it is smaller than the sum of its proper divisors (488360).

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

350080 is an equidigital number, since it uses as much as digits as its factorization.

350080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 350080 is about 591.6755867872. The cubic root of 350080 is about 70.4783562821.

The spelling of 350080 in words is "three hundred fifty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 547 640 1094 2188 2735 4376 5470 8752 10940 17504 21880 35008 43760 70016 87520 175040 350080