Search a number
-
+
2313841680 = 243351071223
BaseRepresentation
bin1000100111101010…
…0110110000010000
312222020220100002000
42021322212300100
514214320413210
61021333354000
7111224221053
oct21172466020
95866810060
102313841680
11a88115557
12546a98900
132ab4b04b7
1417d432a9a
15d8207ac0
hex89ea6c10

2313841680 has 80 divisors (see below), whose sum is σ = 7969906560. Its totient is φ = 617023872.

The previous prime is 2313841591. The next prime is 2313841687. The reversal of 2313841680 is 861483132.

2313841680 is a `hidden beast` number, since 231 + 3 + 8 + 416 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2313841687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 533452 + ... + 537771.

It is an arithmetic number, because the mean of its divisors is an integer number (99623832).

Almost surely, 22313841680 is an apocalyptic number.

2313841680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2313841680 is an abundant number, since it is smaller than the sum of its proper divisors (5656064880).

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

2313841680 is a wasteful number, since it uses less digits than its factorization.

2313841680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071245 (or 1071233 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2313841680 is about 48102.4082557204. The cubic root of 2313841680 is about 1322.6488133637.

The spelling of 2313841680 in words is "two billion, three hundred thirteen million, eight hundred forty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 1071223 2142446 3213669 4284892 5356115 6427338 8569784 9641007 10712230 12854676 16068345 17139568 19282014 21424460 25709352 28923021 32136690 38564028 42848920 48205035 51418704 57846042 64273380 77128056 85697840 96410070 115692084 128546760 144615105 154256112 192820140 231384168 257093520 289230210 385640280 462768336 578460420 771280560 1156920840 2313841680