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2314042020 = 223456612161
BaseRepresentation
bin1000100111101101…
…0111101010100100
312222021021111220000
42021323113222210
514214343321040
61021341541300
7111226014123
oct21173275244
95867244800
102314042020
11a88242024
12546b74830
132ab550744
1417d485aba
15d8247130
hex89ed7aa4

2314042020 has 120 divisors (see below), whose sum is σ = 7273582008. Its totient is φ = 615859200.

The previous prime is 2314042019. The next prime is 2314042021. The reversal of 2314042020 is 202404132.

It is an interprime number because it is at equal distance from previous prime (2314042019) and next prime (2314042021).

It can be written as a sum of positive squares in 4 ways, for example, as 617920164 + 1696121856 = 24858^2 + 41184^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2314041984 and 2314042002.

It is not an unprimeable number, because it can be changed into a prime (2314042021) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1069740 + ... + 1071900.

Almost surely, 22314042020 is an apocalyptic number.

2314042020 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 2314042020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3636791004).

2314042020 is an abundant number, since it is smaller than the sum of its proper divisors (4959539988).

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

2314042020 is a wasteful number, since it uses less digits than its factorization.

2314042020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2843 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2314042020 is about 48104.4906427664. The cubic root of 2314042020 is about 1322.6869853525.

Adding to 2314042020 its reverse (202404132), we get a palindrome (2516446152).

The spelling of 2314042020 in words is "two billion, three hundred fourteen million, forty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 661 810 1322 1620 1983 2161 2644 3305 3966 4322 5949 6483 6610 7932 8644 9915 10805 11898 12966 13220 17847 19449 19830 21610 23796 25932 29745 32415 35694 38898 39660 43220 53541 58347 59490 64830 71388 77796 89235 97245 107082 116694 118980 129660 175041 178470 194490 214164 233388 267705 291735 350082 356940 388980 535410 583470 700164 875205 1070820 1166940 1428421 1750410 2856842 3500820 4285263 5713684 7142105 8570526 12855789 14284210 17141052 21426315 25711578 28568420 38567367 42852630 51423156 64278945 77134734 85705260 115702101 128557890 154269468 192836835 231404202 257115780 385673670 462808404 578510505 771347340 1157021010 2314042020