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2314342100 = 2252729173659
BaseRepresentation
bin1000100111110010…
…0000111011010100
312222021211202112002
42021330200323110
514214432421400
61021352214432
7111231404030
oct21174407324
95867752462
102314342100
11a88427524
1254709a418
132ab6271c5
1417d5231c0
15d82a5ed5
hex89f20ed4

2314342100 has 144 divisors (see below), whose sum is σ = 5980867200. Its totient is φ = 760542720.

The previous prime is 2314342099. The next prime is 2314342103. The reversal of 2314342100 is 12434132.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2314342103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3511571 + ... + 3512229.

It is an arithmetic number, because the mean of its divisors is an integer number (41533800).

Almost surely, 22314342100 is an apocalyptic number.

2314342100 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 2314342100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2990433600).

2314342100 is an abundant number, since it is smaller than the sum of its proper divisors (3666525100).

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

2314342100 is a wasteful number, since it uses less digits than its factorization.

2314342100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2314342100 is about 48107.6095851789. The cubic root of 2314342100 is about 1322.7441572839.

Adding to 2314342100 its reverse (12434132), we get a palindrome (2326776232).

The spelling of 2314342100 in words is "two billion, three hundred fourteen million, three hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 50 58 70 100 116 140 145 173 175 203 290 346 350 406 580 659 692 700 725 812 865 1015 1211 1318 1450 1730 2030 2422 2636 2900 3295 3460 4060 4325 4613 4844 5017 5075 6055 6590 8650 9226 10034 10150 12110 13180 16475 17300 18452 19111 20068 20300 23065 24220 25085 30275 32950 35119 38222 46130 50170 60550 65900 70238 76444 92260 95555 100340 114007 115325 121100 125425 133777 140476 175595 191110 228014 230650 250850 267554 351190 382220 456028 461300 477775 501700 535108 570035 668885 702380 798049 877975 955550 1140070 1337770 1596098 1755950 1911100 2280140 2675540 2850175 3192196 3306203 3344425 3511900 3990245 5700350 6612406 6688850 7980490 11400700 13224812 13377700 15960980 16531015 19951225 23143421 33062030 39902450 46286842 66124060 79804900 82655075 92573684 115717105 165310150 231434210 330620300 462868420 578585525 1157171050 2314342100