Search a number
-
+
2313494688 = 253101269887
BaseRepresentation
bin1000100111100101…
…0010000010100000
312222020020201002110
42021321102002200
514214223312223
61021322115320
7111221244321
oct21171220240
95866221073
102313494688
11a879a888a
1254694bb40
132ab3bb58b
1417d382448
15d8189d93
hex89e520a0

2313494688 has 96 divisors (see below), whose sum is σ = 6162791040. Its totient is φ = 759833600.

The previous prime is 2313494681. The next prime is 2313494693. The reversal of 2313494688 is 8864943132.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2313494681) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2607781 + ... + 2608667.

It is an arithmetic number, because the mean of its divisors is an integer number (64195740).

Almost surely, 22313494688 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 2313494688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3081395520).

2313494688 is an abundant number, since it is smaller than the sum of its proper divisors (3849296352).

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

2313494688 is a wasteful number, since it uses less digits than its factorization.

2313494688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1262 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The square root of 2313494688 is about 48098.8013156253. The cubic root of 2313494688 is about 1322.5826936713.

The spelling of 2313494688 in words is "two billion, three hundred thirteen million, four hundred ninety-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 269 303 404 538 606 807 808 887 1076 1212 1614 1616 1774 2152 2424 2661 3228 3232 3548 4304 4848 5322 6456 7096 8608 9696 10644 12912 14192 21288 25824 27169 28384 42576 54338 81507 85152 89587 108676 163014 179174 217352 238603 268761 326028 358348 434704 477206 537522 652056 715809 716696 869408 954412 1075044 1304112 1431618 1433392 1908824 2150088 2608224 2863236 2866784 3817648 4300176 5726472 7635296 8600352 11452944 22905888 24098903 48197806 72296709 96395612 144593418 192791224 289186836 385582448 578373672 771164896 1156747344 2313494688