Search a number
-
+
2874160384 = 28107317331
BaseRepresentation
bin1010101101010000…
…0011010100000000
321102022020110211121
42223110003110000
521341241113014
61153111122024
7131136650224
oct25324032400
97368213747
102874160384
111245430267
12682673314
1336a5c4624
141d3a0a784
1511c4d8124
hexab503500

2874160384 has 72 divisors (see below), whose sum is σ = 5826528288. Its totient is φ = 1414871040.

The previous prime is 2874160379. The next prime is 2874160423. The reversal of 2874160384 is 4830614782.

It is a self number, because there is not a number n which added to its sum of digits gives 2874160384.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8683099 + ... + 8683429.

It is an arithmetic number, because the mean of its divisors is an integer number (80924004).

Almost surely, 22874160384 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 2874160384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2913264144).

2874160384 is an abundant number, since it is smaller than the sum of its proper divisors (2952367904).

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

2874160384 is a wasteful number, since it uses less digits than its factorization.

2874160384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The square root of 2874160384 is about 53611.1964425343. The cubic root of 2874160384 is about 1421.7950557985.

The spelling of 2874160384 in words is "two billion, eight hundred seventy-four million, one hundred sixty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 107 128 214 256 317 331 428 634 662 856 1268 1324 1712 2536 2648 3424 5072 5296 6848 10144 10592 13696 20288 21184 27392 33919 35417 40576 42368 67838 70834 81152 84736 104927 135676 141668 209854 271352 283336 419708 542704 566672 839416 1085408 1133344 1678832 2170816 2266688 3357664 4341632 4533376 6715328 8683264 9066752 11227189 13430656 22454378 26861312 44908756 89817512 179635024 359270048 718540096 1437080192 2874160384