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350805 = 35713257
BaseRepresentation
bin1010101101001010101
3122211012210
41111221111
542211210
611304033
72660520
oct1255125
9584183
10350805
1121a624
1214b019
13c38a0
1491bb7
156de20
hex55a55

350805 has 32 divisors (see below), whose sum is σ = 693504. Its totient is φ = 147456.

The previous prime is 350803. The next prime is 350809. The reversal of 350805 is 508053.

350805 is nontrivially palindromic in base 4 and base 16.

It is not a de Polignac number, because 350805 - 21 = 350803 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

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 (350803) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1237 + ... + 1493.

It is an arithmetic number, because the mean of its divisors is an integer number (21672).

2350805 is an apocalyptic number.

350805 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

350805 is a deficient number, since it is larger than the sum of its proper divisors (342699).

350805 is a wasteful number, since it uses less digits than its factorization.

350805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 350805 is about 592.2879367335. The cubic root of 350805 is about 70.5269752413.

Adding to 350805 its reverse (508053), we get a palindrome (858858).

The spelling of 350805 in words is "three hundred fifty thousand, eight hundred five".

Divisors: 1 3 5 7 13 15 21 35 39 65 91 105 195 257 273 455 771 1285 1365 1799 3341 3855 5397 8995 10023 16705 23387 26985 50115 70161 116935 350805