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350056 = 23721947
BaseRepresentation
bin1010101011101101000
3122210012001
41111131220
542200211
611300344
72655400
oct1253550
9583161
10350056
1121a003
1214a6b4
13c3445
1491800
156dac1
hex55768

350056 has 48 divisors (see below), whose sum is σ = 820800. Its totient is φ = 139104.

The previous prime is 350039. The next prime is 350087. The reversal of 350056 is 650053.

350056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7425 + ... + 7471.

It is an arithmetic number, because the mean of its divisors is an integer number (17100).

2350056 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 350056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410400).

350056 is an abundant number, since it is smaller than the sum of its proper divisors (470744).

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

350056 is a wasteful number, since it uses less digits than its factorization.

350056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 350056 is about 591.6553050552. The cubic root of 350056 is about 70.4767456795.

The spelling of 350056 in words is "three hundred fifty thousand, fifty-six".

Divisors: 1 2 4 7 8 14 19 28 38 47 49 56 76 94 98 133 152 188 196 266 329 376 392 532 658 893 931 1064 1316 1786 1862 2303 2632 3572 3724 4606 6251 7144 7448 9212 12502 18424 25004 43757 50008 87514 175028 350056