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2324057856 = 28319715361
BaseRepresentation
bin1000101010000110…
…0100111100000000
312222222010101000220
42022201210330000
514224424322411
61022340343040
7111410110611
oct21241447400
95888111026
102324057856
11a9296307a
1254a3a4a80
132b0649583
14180931c08
15d9074b06
hex8a864f00

2324057856 has 72 divisors (see below), whose sum is σ = 6217185744. Its totient is φ = 770703360.

The previous prime is 2324057819. The next prime is 2324057881. The reversal of 2324057856 is 6587504232.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 143616 + ... + 158976.

It is an arithmetic number, because the mean of its divisors is an integer number (86349802).

Almost surely, 22324057856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2324057856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3108592872).

2324057856 is an abundant number, since it is smaller than the sum of its proper divisors (3893127888).

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

2324057856 is a wasteful number, since it uses less digits than its factorization.

2324057856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15577 (or 15563 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The square root of 2324057856 is about 48208.4832368744. The cubic root of 2324057856 is about 1324.5925612802.

The spelling of 2324057856 in words is "two billion, three hundred twenty-four million, fifty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 197 256 384 394 591 768 788 1182 1576 2364 3152 4728 6304 9456 12608 15361 18912 25216 30722 37824 46083 50432 61444 75648 92166 122888 151296 184332 245776 368664 491552 737328 983104 1474656 1966208 2949312 3026117 3932416 5898624 6052234 9078351 11797248 12104468 18156702 24208936 36313404 48417872 72626808 96835744 145253616 193671488 290507232 387342976 581014464 774685952 1162028928 2324057856