Search a number
-
+
540349212 = 2231323732063
BaseRepresentation
bin100000001101010…
…001001100011100
31101122202120202210
4200031101030130
52101312133322
6125341320420
716250615064
oct4015211434
91348676683
10540349212
112580163a7
12130b66110
1387c41880
1451a9a3a4
153268870c
hex2035131c

540349212 has 96 divisors (see below), whose sum is σ = 1436940288. Its totient is φ = 156777984.

The previous prime is 540349207. The next prime is 540349213. The reversal of 540349212 is 212943045.

It is a self number, because there is not a number n which added to its sum of digits gives 540349212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540349213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260893 + ... + 262955.

It is an arithmetic number, because the mean of its divisors is an integer number (14968128).

Almost surely, 2540349212 is an apocalyptic number.

540349212 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540349212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718470144).

540349212 is an abundant number, since it is smaller than the sum of its proper divisors (896591076).

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

540349212 is a wasteful number, since it uses less digits than its factorization.

540349212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 540349212 is about 23245.4127087475. The cubic root of 540349212 is about 814.5007855237.

It can be divided in two parts, 5403 and 49212, that added together give a triangular number (54615 = T330).

The spelling of 540349212 in words is "five hundred forty million, three hundred forty-nine thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 73 78 92 138 146 156 219 276 292 299 438 598 876 897 949 1196 1679 1794 1898 2063 2847 3358 3588 3796 4126 5037 5694 6189 6716 8252 10074 11388 12378 20148 21827 24756 26819 43654 47449 53638 65481 80457 87308 94898 107276 130962 142347 150599 160914 189796 261924 284694 301198 321828 451797 569388 602396 616837 903594 1233674 1807188 1850511 1957787 2467348 3463777 3701022 3915574 5873361 6927554 7402044 7831148 10391331 11746722 13855108 20782662 23493444 41565324 45029101 90058202 135087303 180116404 270174606 540349212