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2320003240 = 235617971193
BaseRepresentation
bin1000101001001000…
…0111000010101000
312222200111101010221
42022102013002220
514222410100430
61022113415424
7111330462562
oct21222070250
95880441127
102320003240
11a90643855
12548b6a574
132ac859ba9
14180198332
15d8a2357a
hex8a4870a8

2320003240 has 64 divisors (see below), whose sum is σ = 5316690960. Its totient is φ = 910878720.

The previous prime is 2320003207. The next prime is 2320003241. The reversal of 2320003240 is 423000232.

It can be written as a sum of positive squares in 8 ways, for example, as 371487076 + 1948516164 = 19274^2 + 44142^2 .

It is a super-2 number, since 2×23200032402 = 10764830067220995200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2320003241) 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, 1944084 + ... + 1945276.

Almost surely, 22320003240 is an apocalyptic number.

2320003240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2320003240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2658345480).

2320003240 is an abundant number, since it is smaller than the sum of its proper divisors (2996687720).

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

2320003240 is a wasteful number, since it uses less digits than its factorization.

2320003240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 2320003240 is about 48166.4119485768. The cubic root of 2320003240 is about 1323.8218058665.

Adding to 2320003240 its reverse (423000232), we get a palindrome (2743003472).

The spelling of 2320003240 in words is "two billion, three hundred twenty million, three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 797 1193 1220 1594 2386 2440 3188 3985 4772 5965 6376 7970 9544 11930 15940 23860 31880 47720 48617 72773 97234 145546 194468 243085 291092 363865 388936 486170 582184 727730 950821 972340 1455460 1901642 1944680 2910920 3803284 4754105 7606568 9508210 19016420 38032840 58000081 116000162 232000324 290000405 464000648 580000810 1160001620 2320003240