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2334030400 = 265213112213
BaseRepresentation
bin1000101100011110…
…0111101001000000
320000122220000210101
42023013213221000
514240002433100
61023334212144
7111560634232
oct21307475100
96018800711
102334030400
11a98554649
125517b4054
132b272b7a0
14181daa252
15d9d9486a
hex8b1e7a40

2334030400 has 84 divisors (see below), whose sum is σ = 6185011252. Its totient is φ = 861788160.

The previous prime is 2334030397. The next prime is 2334030421. The reversal of 2334030400 is 40304332.

It can be written as a sum of positive squares in 6 ways, for example, as 386043904 + 1947986496 = 19648^2 + 44136^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35307 + ... + 76906.

Almost surely, 22334030400 is an apocalyptic number.

2334030400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2334030400 is an abundant number, since it is smaller than the sum of its proper divisors (3850980852).

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

2334030400 is a wasteful number, since it uses less digits than its factorization.

2334030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112248 (or 112233 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

The square root of 2334030400 is about 48311.8039406520. The cubic root of 2334030400 is about 1326.4844689172.

Adding to 2334030400 its reverse (40304332), we get a palindrome (2374334732).

The spelling of 2334030400 in words is "two billion, three hundred thirty-four million, thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 130 160 200 208 260 320 325 400 416 520 650 800 832 1040 1300 1600 2080 2600 4160 5200 10400 20800 112213 224426 448852 561065 897704 1122130 1458769 1795408 2244260 2805325 2917538 3590816 4488520 5610650 5835076 7181632 7293845 8977040 11221300 11670152 14587690 17954080 22442600 23340304 29175380 35908160 36469225 44885200 46680608 58350760 72938450 89770400 93361216 116701520 145876900 179540800 233403040 291753800 466806080 583507600 1167015200 2334030400