Search a number
-
+
2840456424 = 2331317677993
BaseRepresentation
bin1010100101001101…
…1110110011101000
321022221211010200210
42221103132303220
521304124101144
61145504501120
7130250324031
oct25123366350
97287733623
102840456424
1112283aaa53
1267331a7a0
13363623760
141cd355a88
1511957bab9
hexa94dece8

2840456424 has 128 divisors (see below), whose sum is σ = 8219111040. Its totient is φ = 810196992.

The previous prime is 2840456371. The next prime is 2840456429. The reversal of 2840456424 is 4246540482.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2840456429) 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, 351372 + ... + 359364.

It is an arithmetic number, because the mean of its divisors is an integer number (64211805).

Almost surely, 22840456424 is an apocalyptic number.

2840456424 is a gapful number since it is divisible by the number (24) 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 2840456424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4109555520).

2840456424 is an abundant number, since it is smaller than the sum of its proper divisors (5378654616).

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

2840456424 is a wasteful number, since it uses less digits than its factorization.

2840456424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8099 (or 8095 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 39.

The square root of 2840456424 is about 53295.9325277267. The cubic root of 2840456424 is about 1416.2156100229.

The spelling of 2840456424 in words is "two billion, eight hundred forty million, four hundred fifty-six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 67 68 78 102 104 134 136 156 201 204 221 268 312 402 408 442 536 663 804 871 884 1139 1326 1608 1742 1768 2278 2613 2652 3417 3484 4556 5226 5304 6834 6968 7993 9112 10452 13668 14807 15986 20904 23979 27336 29614 31972 44421 47958 59228 63944 88842 95916 103909 118456 135881 177684 191832 207818 271762 311727 355368 407643 415636 535531 543524 623454 815286 831272 1071062 1087048 1246908 1606593 1630572 1766453 2142124 2493816 3213186 3261144 3532906 4284248 5299359 6426372 6961903 7065812 9104027 10598718 12852744 13923806 14131624 18208054 20885709 21197436 27312081 27847612 36416108 41771418 42394872 54624162 55695224 72832216 83542836 109248324 118352351 167085672 218496648 236704702 355057053 473409404 710114106 946818808 1420228212 2840456424