Search a number
-
+
201410328 = 23377691559
BaseRepresentation
bin11000000000101…
…00011100011000
3112000222201000210
430000110130120
5403030112303
631552531120
74663650060
oct1400243430
9460881023
10201410328
11a3766619
1257550aa0
133295c212
141ca6c3a0
1512a37203
hexc014718

201410328 has 64 divisors (see below), whose sum is σ = 576576000. Its totient is φ = 57434112.

The previous prime is 201410299. The next prime is 201410329. The reversal of 201410328 is 823014102.

It is a super-2 number, since 2×2014103282 = 81132240450135168, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201410329) 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, 128413 + ... + 129971.

It is an arithmetic number, because the mean of its divisors is an integer number (9009000).

Almost surely, 2201410328 is an apocalyptic number.

201410328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

201410328 is an abundant number, since it is smaller than the sum of its proper divisors (375165672).

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

201410328 is a wasteful number, since it uses less digits than its factorization.

201410328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 201410328 is about 14191.9106536083. The cubic root of 201410328 is about 586.1749371906.

The spelling of 201410328 in words is "two hundred one million, four hundred ten thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 769 1538 1559 2307 3076 3118 4614 4677 5383 6152 6236 9228 9354 10766 10913 12472 16149 18456 18708 21532 21826 32298 32739 37416 43064 43652 64596 65478 87304 129192 130956 261912 1198871 2397742 3596613 4795484 7193226 8392097 9590968 14386452 16784194 25176291 28772904 33568388 50352582 67136776 100705164 201410328