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2320315400 = 2352131277027
BaseRepresentation
bin1000101001001101…
…0011010000001000
312222201002020100102
42022103103100020
514223000043100
61022124224532
7111333232634
oct21223232010
95881066312
102320315400
11a90837337
1254909b148
132ac938cc0
14180239dc4
15d8a85cd5
hex8a4d3408

2320315400 has 96 divisors (see below), whose sum is σ = 5856291840. Its totient is φ = 849864960.

The previous prime is 2320315367. The next prime is 2320315423. The reversal of 2320315400 is 45130232.

It is a happy number.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 326687 + ... + 333713.

It is an arithmetic number, because the mean of its divisors is an integer number (61003040).

Almost surely, 22320315400 is an apocalyptic number.

2320315400 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 2320315400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2928145920).

2320315400 is an abundant number, since it is smaller than the sum of its proper divisors (3535976440).

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

2320315400 is a wasteful number, since it uses less digits than its factorization.

2320315400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7183 (or 7174 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 2320315400 is about 48169.6522719440. The cubic root of 2320315400 is about 1323.8811772897.

Adding to 2320315400 its reverse (45130232), we get a palindrome (2365445632).

The spelling of 2320315400 in words is "two billion, three hundred twenty million, three hundred fifteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 127 130 200 254 260 325 508 520 635 650 1016 1270 1300 1651 2540 2600 3175 3302 5080 6350 6604 7027 8255 12700 13208 14054 16510 25400 28108 33020 35135 41275 56216 66040 70270 82550 91351 140540 165100 175675 182702 281080 330200 351350 365404 456755 702700 730808 892429 913510 1405400 1784858 1827020 2283775 3569716 3654040 4462145 4567550 7139432 8924290 9135100 11601577 17848580 18270200 22310725 23203154 35697160 44621450 46406308 58007885 89242900 92812616 116015770 178485800 232031540 290039425 464063080 580078850 1160157700 2320315400