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2313413244 = 2233174329303
BaseRepresentation
bin1000100111100011…
…1110001001111100
312222020002120101000
42021320332021330
514214213210434
61021320250300
7111220455012
oct21170761174
95866076330
102313413244
11a8795267a
12546910990
132ab39049c
1417d3608b2
15d8170b99
hex89e3e27c

2313413244 has 96 divisors (see below), whose sum is σ = 6498455040. Its totient is φ = 708873984.

The previous prime is 2313413231. The next prime is 2313413281. The reversal of 2313413244 is 4423143132.

2313413244 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 413 + 244 = 666.

It is a super-3 number, since 3×23134132443 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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, 64297 + ... + 93599.

It is an arithmetic number, because the mean of its divisors is an integer number (67692240).

Almost surely, 22313413244 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 2313413244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3249227520).

2313413244 is an abundant number, since it is smaller than the sum of its proper divisors (4185041796).

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

2313413244 is a wasteful number, since it uses less digits than its factorization.

2313413244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29376 (or 29368 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 2313413244 is about 48097.9546758487. The cubic root of 2313413244 is about 1322.5671734730.

Adding to 2313413244 its reverse (4423143132), we get a palindrome (6736556376).

The spelling of 2313413244 in words is "two billion, three hundred thirteen million, four hundred thirteen thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 43 51 54 68 86 102 108 129 153 172 204 258 306 387 459 516 612 731 774 918 1161 1462 1548 1836 2193 2322 2924 4386 4644 6579 8772 13158 19737 26316 29303 39474 58606 78948 87909 117212 175818 263727 351636 498151 527454 791181 996302 1054908 1260029 1494453 1582362 1992604 2520058 2988906 3164724 3780087 4483359 5040116 5977812 7560174 8966718 11340261 13450077 15120348 17933436 21420493 22680522 26900154 34020783 42840986 45361044 53800308 64261479 68041566 85681972 128522958 136083132 192784437 257045916 385568874 578353311 771137748 1156706622 2313413244