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2324024320 = 21054111071
BaseRepresentation
bin1000101010000101…
…1100110000000000
312222222001200000211
42022201130300000
514224422234240
61022335523504
7111406611052
oct21241346000
95888050024
102324024320
11a9293a962
1254a389594
132b0637227
141809238d2
15d9069bea
hex8a85cc00

2324024320 has 88 divisors (see below), whose sum is σ = 5711424768. Its totient is φ = 906854400.

The previous prime is 2324024251. The next prime is 2324024341. The reversal of 2324024320 is 234204232.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2324024291 and 2324024300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204385 + ... + 215455.

Almost surely, 22324024320 is an apocalyptic number.

2324024320 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 2324024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2855712384).

2324024320 is an abundant number, since it is smaller than the sum of its proper divisors (3387400448).

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

2324024320 is a wasteful number, since it uses less digits than its factorization.

2324024320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11137 (or 11119 counting only the distinct ones).

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

The square root of 2324024320 is about 48208.1354130192. The cubic root of 2324024320 is about 1324.5861899887.

Adding to 2324024320 its reverse (234204232), we get a palindrome (2558228552).

The spelling of 2324024320 in words is "two billion, three hundred twenty-four million, twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 205 256 320 328 410 512 640 656 820 1024 1280 1312 1640 2560 2624 3280 5120 5248 6560 10496 11071 13120 20992 22142 26240 41984 44284 52480 55355 88568 104960 110710 177136 209920 221420 354272 442840 453911 708544 885680 907822 1417088 1771360 1815644 2269555 2834176 3542720 3631288 4539110 5668352 7085440 7262576 9078220 11336704 14170880 14525152 18156440 28341760 29050304 36312880 56683520 58100608 72625760 116201216 145251520 232402432 290503040 464804864 581006080 1162012160 2324024320