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350020 = 225113743
BaseRepresentation
bin1010101011101000100
3122210010201
41111131010
542200040
611300244
72655316
oct1253504
9583121
10350020
11219a80
1214a684
13c3418
14917b6
156da9a
hex55744

350020 has 48 divisors (see below), whose sum is σ = 842688. Its totient is φ = 120960.

The previous prime is 350003. The next prime is 350029. The reversal of 350020 is 20053.

350020 = T177 + T178 + ... + T196.

350020 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 (10).

It is a junction number, because it is equal to n+sod(n) for n = 349979 and 350006.

It is not an unprimeable number, because it can be changed into a prime (350029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8119 + ... + 8161.

It is an arithmetic number, because the mean of its divisors is an integer number (17556).

2350020 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 350020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421344).

350020 is an abundant number, since it is smaller than the sum of its proper divisors (492668).

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

350020 is a wasteful number, since it uses less digits than its factorization.

350020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 10.

The square root of 350020 is about 591.6248811536. The cubic root of 350020 is about 70.4743296377.

Adding to 350020 its reverse (20053), we get a palindrome (370073).

The spelling of 350020 in words is "three hundred fifty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 37 43 44 55 74 86 110 148 172 185 215 220 370 407 430 473 740 814 860 946 1591 1628 1892 2035 2365 3182 4070 4730 6364 7955 8140 9460 15910 17501 31820 35002 70004 87505 175010 350020