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2314423400 = 2352431911409
BaseRepresentation
bin1000100111110011…
…0100110001101000
312222021222220001012
42021330310301220
514214443022100
61021354043052
7111232163042
oct21174646150
95867886035
102314423400
11a88482613
12547119488
132ab655203
1417d544a92
15d82c0135
hex89f34c68

2314423400 has 96 divisors (see below), whose sum is σ = 5538931200. Its totient is φ = 898867200.

The previous prime is 2314423379. The next prime is 2314423409. The reversal of 2314423400 is 43244132.

It is not an unprimeable number, because it can be changed into a prime (2314423409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1641896 + ... + 1643304.

It is an arithmetic number, because the mean of its divisors is an integer number (57697200).

Almost surely, 22314423400 is an apocalyptic number.

2314423400 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 2314423400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2769465600).

2314423400 is an abundant number, since it is smaller than the sum of its proper divisors (3224507800).

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

2314423400 is a wasteful number, since it uses less digits than its factorization.

2314423400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 2314423400 is about 48108.4545584246. The cubic root of 2314423400 is about 1322.7596458960.

Adding to 2314423400 its reverse (43244132), we get a palindrome (2357667532).

The spelling of 2314423400 in words is "two billion, three hundred fourteen million, four hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 191 200 215 344 382 430 764 860 955 1075 1409 1528 1720 1910 2150 2818 3820 4300 4775 5636 7045 7640 8213 8600 9550 11272 14090 16426 19100 28180 32852 35225 38200 41065 56360 60587 65704 70450 82130 121174 140900 164260 205325 242348 269119 281800 302935 328520 410650 484696 538238 605870 821300 1076476 1211740 1345595 1514675 1642600 2152952 2423480 2691190 3029350 5382380 6058700 6727975 10764760 11572117 12117400 13455950 23144234 26911900 46288468 53823800 57860585 92576936 115721170 231442340 289302925 462884680 578605850 1157211700 2314423400