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2324196864 = 29321145853
BaseRepresentation
bin1000101010001000…
…0110111000000000
312222222101102201100
42022202012320000
514224443244424
61022343334400
7111411230103
oct21242067000
95888342640
102324196864
11a92a48560
1254a451400
132b0697922
1418096a73a
15d90a0dc9
hex8a886e00

2324196864 has 120 divisors (see below), whose sum is σ = 7317748152. Its totient is φ = 704286720.

The previous prime is 2324196841. The next prime is 2324196887. The reversal of 2324196864 is 4686914232.

It is an interprime number because it is at equal distance from previous prime (2324196841) and next prime (2324196887).

It is a nude number because it is divisible by every one of its digits.

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, 27762 + ... + 73614.

Almost surely, 22324196864 is an apocalyptic number.

2324196864 is a gapful number since it is divisible by the number (24) 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 2324196864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3658874076).

2324196864 is an abundant number, since it is smaller than the sum of its proper divisors (4993551288).

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

2324196864 is a wasteful number, since it uses less digits than its factorization.

2324196864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45888 (or 45869 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 2324196864 is about 48209.9249532708. The cubic root of 2324196864 is about 1324.6189698729.

The spelling of 2324196864 in words is "two billion, three hundred twenty-four million, one hundred ninety-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1056 1152 1408 1536 1584 2112 2304 2816 3168 4224 4608 5632 6336 8448 12672 16896 25344 45853 50688 91706 137559 183412 275118 366824 412677 504383 550236 733648 825354 1008766 1100472 1467296 1513149 1650708 2017532 2200944 2934592 3026298 3301416 4035064 4401888 4539447 5869184 6052596 6602832 8070128 8803776 9078894 11738368 12105192 13205664 16140256 17607552 18157788 23476736 24210384 26411328 32280512 35215104 36315576 48420768 52822656 64561024 70430208 72631152 96841536 105645312 129122048 145262304 193683072 211290624 258244096 290524608 387366144 581049216 774732288 1162098432 2324196864