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2300034440 = 235117966169
BaseRepresentation
bin1000100100010111…
…1011110110001000
312221021220212002202
42021011323312020
514202302100230
61020121415332
7110665653524
oct21105736610
95837825082
102300034440
11a80344a10
1254233a548
132a8687a32
1417b67ad84
15d6dcba45
hex8917bd88

2300034440 has 64 divisors (see below), whose sum is σ = 5717088000. Its totient is φ = 825776640.

The previous prime is 2300034437. The next prime is 2300034449. The reversal of 2300034440 is 444300032.

It is a happy number.

It is a super-2 number, since 2×23000344402 = 10580316850372227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2300034449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1676 + ... + 67844.

It is an arithmetic number, because the mean of its divisors is an integer number (89329500).

Almost surely, 22300034440 is an apocalyptic number.

2300034440 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 2300034440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858544000).

2300034440 is an abundant number, since it is smaller than the sum of its proper divisors (3417053560).

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

2300034440 is a wasteful number, since it uses less digits than its factorization.

2300034440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66270 (or 66266 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 2300034440 is about 47958.6742936041. The cubic root of 2300034440 is about 1320.0127103153.

Adding to 2300034440 its reverse (444300032), we get a palindrome (2744334472).

The spelling of 2300034440 in words is "two billion, three hundred million, thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 79 88 110 158 220 316 395 440 632 790 869 1580 1738 3160 3476 4345 6952 8690 17380 34760 66169 132338 264676 330845 529352 661690 727859 1323380 1455718 2646760 2911436 3639295 5227351 5822872 7278590 10454702 14557180 20909404 26136755 29114360 41818808 52273510 57500861 104547020 115001722 209094040 230003444 287504305 460006888 575008610 1150017220 2300034440