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2324034400 = 255219152897
BaseRepresentation
bin1000101010000101…
…1111001101100000
312222222002011212011
42022201133031200
514224423100100
61022340042304
7111406652332
oct21241371540
95888064764
102324034400
11a92947496
1254a393394
132b063b9ac
14180927452
15d906cbba
hex8a85f360

2324034400 has 72 divisors (see below), whose sum is σ = 5972195880. Its totient is φ = 880680960.

The previous prime is 2324034359. The next prime is 2324034421. The reversal of 2324034400 is 44304232.

It is a super-2 number, since 2×23240344002 = 10802271784766720000, which contains 22 as substring.

It is a congruent number.

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, 61249 + ... + 91648.

It is an arithmetic number, because the mean of its divisors is an integer number (82947165).

Almost surely, 22324034400 is an apocalyptic number.

2324034400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2324034400 is an abundant number, since it is smaller than the sum of its proper divisors (3648161480).

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

2324034400 is a wasteful number, since it uses less digits than its factorization.

2324034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152936 (or 152923 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 2324034400 is about 48208.2399595754. The cubic root of 2324034400 is about 1324.5881050303.

Adding to 2324034400 its reverse (44304232), we get a palindrome (2368338632).

The spelling of 2324034400 in words is "two billion, three hundred twenty-four million, thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 152 160 190 200 304 380 400 475 608 760 800 950 1520 1900 3040 3800 7600 15200 152897 305794 611588 764485 1223176 1528970 2446352 2905043 3057940 3822425 4892704 5810086 6115880 7644850 11620172 12231760 14525215 15289700 23240344 24463520 29050430 30579400 46480688 58100860 61158800 72626075 92961376 116201720 122317600 145252150 232403440 290504300 464806880 581008600 1162017200 2324034400