Search a number
-
+
214834326 = 23721634483
BaseRepresentation
bin11001100111000…
…01110010010110
3112222020201021220
430303201302112
5414444144301
633152351210
75216030100
oct1463416226
9488221256
10214834326
111002a5233
125bb45506
133567c405
1420764570
1513cd9936
hexcce1c96

214834326 has 48 divisors (see below), whose sum is σ = 502997184. Its totient is φ = 60991056.

The previous prime is 214834307. The next prime is 214834337. The reversal of 214834326 is 623438412.

214834326 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45681 + ... + 50163.

It is an arithmetic number, because the mean of its divisors is an integer number (10479108).

Almost surely, 2214834326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214834326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251498592).

214834326 is an abundant number, since it is smaller than the sum of its proper divisors (288162858).

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

214834326 is a wasteful number, since it uses less digits than its factorization.

214834326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4665 (or 4658 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 214834326 is about 14657.2277733547. The cubic root of 214834326 is about 598.9187247993.

The spelling of 214834326 in words is "two hundred fourteen million, eight hundred thirty-four thousand, three hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 163 294 326 489 978 1141 2282 3423 4483 6846 7987 8966 13449 15974 23961 26898 31381 47922 62762 94143 188286 219667 439334 659001 730729 1318002 1461458 2192187 4384374 5115103 10230206 15345309 30690618 35805721 71611442 107417163 214834326