Search a number
-
+
42314940 = 22335233407
BaseRepresentation
bin1010000101101…
…0110010111100
32221121211012000
42201122302330
541313034230
64110542300
71022446113
oct241326274
987554160
1042314940
1121981928
1212207990
1389c7435
145896c7a
153aacb60
hex285acbc

42314940 has 96 divisors (see below), whose sum is σ = 137410560. Its totient is φ = 10790208.

The previous prime is 42314933. The next prime is 42314941. The reversal of 42314940 is 4941324.

42314940 is digitally balanced in base 2, 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42314941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10717 + ... + 14123.

It is an arithmetic number, because the mean of its divisors is an integer number (1431360).

Almost surely, 242314940 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 42314940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68705280).

42314940 is an abundant number, since it is smaller than the sum of its proper divisors (95095620).

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

42314940 is a wasteful number, since it uses less digits than its factorization.

42314940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3448 (or 3440 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 42314940 is about 6504.9934665609. The cubic root of 42314940 is about 348.4693429377.

The spelling of 42314940 in words is "forty-two million, three hundred fourteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 90 92 108 115 135 138 180 207 230 270 276 345 414 460 540 621 690 828 1035 1242 1380 2070 2484 3105 3407 4140 6210 6814 10221 12420 13628 17035 20442 30663 34070 40884 51105 61326 68140 78361 91989 102210 122652 153315 156722 183978 204420 235083 306630 313444 367956 391805 459945 470166 613260 705249 783610 919890 940332 1175415 1410498 1567220 1839780 2115747 2350830 2820996 3526245 4231494 4701660 7052490 8462988 10578735 14104980 21157470 42314940