Search a number
-
+
2405340340 = 2251319539187
BaseRepresentation
bin1000111101011110…
…1001010010110100
320012122001221122021
42033113221102310
514411231342330
61034402442524
7113415025024
oct21727512264
96178057567
102405340340
11102482a887
12571663444
132c4438610
1418b64da84
15e127d67a
hex8f5e94b4

2405340340 has 96 divisors (see below), whose sum is σ = 5834747520. Its totient is φ = 825417216.

The previous prime is 2405340337. The next prime is 2405340347. The reversal of 2405340340 is 430435042.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2405340347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257227 + ... + 266413.

It is an arithmetic number, because the mean of its divisors is an integer number (60778620).

Almost surely, 22405340340 is an apocalyptic number.

2405340340 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 2405340340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2917373760).

2405340340 is an abundant number, since it is smaller than the sum of its proper divisors (3429407180).

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

2405340340 is a wasteful number, since it uses less digits than its factorization.

2405340340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9281 (or 9279 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 2405340340 is about 49044.2691861139. The cubic root of 2405340340 is about 1339.8582199440.

Adding to 2405340340 its reverse (430435042), we get a palindrome (2835775382).

The spelling of 2405340340 in words is "two billion, four hundred five million, three hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 53 65 76 95 106 130 190 212 247 260 265 380 494 530 689 988 1007 1060 1235 1378 2014 2470 2756 3445 4028 4940 5035 6890 9187 10070 13091 13780 18374 20140 26182 36748 45935 52364 65455 91870 119431 130910 174553 183740 238862 261820 349106 477724 486911 597155 698212 872765 973822 1194310 1745530 1947644 2269189 2388620 2434555 3491060 4538378 4869110 6329843 9076756 9251309 9738220 11345945 12659686 18502618 22691890 25319372 31649215 37005236 45383780 46256545 63298430 92513090 120267017 126596860 185026180 240534034 481068068 601335085 1202670170 2405340340