Search a number
-
+
2134210340 = 2251922910193
BaseRepresentation
bin111111100110101…
…0111011100100100
312111201220010012102
41333031113130210
513332324212330
6551435311232
7103613326403
oct17715273444
95451803172
102134210340
119a57848a9
124b68ab518
13280208372
1416363363a
15c7573945
hex7f357724

2134210340 has 72 divisors (see below), whose sum is σ = 4893731640. Its totient is φ = 780788736.

The previous prime is 2134210339. The next prime is 2134210343. The reversal of 2134210340 is 430124312.

It can be written as a sum of positive squares in 4 ways, for example, as 396487744 + 1737722596 = 19912^2 + 41686^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2134210343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204284 + ... + 214476.

It is an arithmetic number, because the mean of its divisors is an integer number (67968495).

Almost surely, 22134210340 is an apocalyptic number.

2134210340 is a gapful number since it is divisible by the number (20) 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 2134210340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2446865820).

2134210340 is an abundant number, since it is smaller than the sum of its proper divisors (2759521300).

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

2134210340 is a wasteful number, since it uses less digits than its factorization.

2134210340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10269 (or 10248 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2134210340 is about 46197.5144353027. The cubic root of 2134210340 is about 1287.4955596039.

Adding to 2134210340 its reverse (430124312), we get a palindrome (2564334652).

The spelling of 2134210340 in words is "two billion, one hundred thirty-four million, two hundred ten thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 29 38 58 76 95 116 145 190 290 361 380 551 580 722 1102 1444 1805 2204 2755 3610 5510 7220 10193 10469 11020 20386 20938 40772 41876 50965 52345 101930 104690 193667 203860 209380 295597 387334 591194 774668 968335 1182388 1477985 1936670 2955970 3679673 3873340 5616343 5911940 7359346 11232686 14718692 18398365 22465372 28081715 36796730 56163430 73593460 106710517 112326860 213421034 426842068 533552585 1067105170 2134210340