Search a number
-
+
2680835344 = 241124332203
BaseRepresentation
bin1001111111001010…
…0100110100010000
320220211110112201221
42133302210310100
520442243212334
61122003334424
7123301503325
oct23762446420
96824415657
102680835344
111156297300
12629981414
13339536605
141b6084b4c
1510a54b8b4
hex9fca4d10

2680835344 has 60 divisors (see below), whose sum is σ = 5842192048. Its totient is φ = 1190185920.

The previous prime is 2680835341. The next prime is 2680835363. The reversal of 2680835344 is 4435380862.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 2680835344.

It is not an unprimeable number, because it can be changed into a prime (2680835341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67147 + ... + 99349.

Almost surely, 22680835344 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 2680835344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2921096024).

2680835344 is an abundant number, since it is smaller than the sum of its proper divisors (3161356704).

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

2680835344 is a wasteful number, since it uses less digits than its factorization.

2680835344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32276 (or 32259 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 43.

The square root of 2680835344 is about 51776.7838321385. The cubic root of 2680835344 is about 1389.1742147493.

The spelling of 2680835344 in words is "two billion, six hundred eighty million, eight hundred thirty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 121 172 176 242 344 473 484 688 946 968 1892 1936 3784 5203 7568 10406 20812 32203 41624 64406 83248 128812 257624 354233 515248 708466 1384729 1416932 2769458 2833864 3896563 5538916 5667728 7793126 11077832 15232019 15586252 22155664 30464038 31172504 60928076 62345008 121856152 167552209 243712304 335104418 670208836 1340417672 2680835344