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2321998336 = 2975979139
BaseRepresentation
bin1000101001100110…
…1110001000000000
312222211020201220101
42022121232020000
514223412421321
61022224252144
7111353442310
oct21231561000
95884221811
102321998336
11a91786799
12549771054
132b00a8018
14180557440
15d8cb9791
hex8a66e200

2321998336 has 160 divisors (see below), whose sum is σ = 5499648000. Its totient is φ = 958943232.

The previous prime is 2321998331. The next prime is 2321998339. The reversal of 2321998336 is 6338991232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2321998331) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 16704955 + ... + 16705093.

It is an arithmetic number, because the mean of its divisors is an integer number (34372800).

Almost surely, 22321998336 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 2321998336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2749824000).

2321998336 is an abundant number, since it is smaller than the sum of its proper divisors (3177649664).

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

2321998336 is an equidigital number, since it uses as much as digits as its factorization.

2321998336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 286 counting only the distinct ones).

The product of its digits is 419904, while the sum is 46.

The square root of 2321998336 is about 48187.1179466048. The cubic root of 2321998336 is about 1324.2011724145.

The spelling of 2321998336 in words is "two billion, three hundred twenty-one million, nine hundred ninety-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 64 79 112 118 128 139 158 224 236 256 278 316 413 448 472 512 553 556 632 826 896 944 973 1106 1112 1264 1652 1792 1888 1946 2212 2224 2528 3304 3584 3776 3892 4424 4448 4661 5056 6608 7552 7784 8201 8848 8896 9322 10112 10981 13216 15104 15568 16402 17696 17792 18644 20224 21962 26432 30208 31136 32627 32804 35392 35584 37288 40448 43924 52864 57407 62272 65254 65608 70784 71168 74576 76867 87848 105728 114814 124544 130508 131216 141568 149152 153734 175696 211456 229628 249088 261016 262432 283136 298304 307468 351392 459256 498176 522032 524864 596608 614936 647879 702784 918512 1044064 1049728 1193216 1229872 1295758 1405568 1837024 2088128 2099456 2386432 2459744 2591516 2811136 3674048 4176256 4198912 4535153 4919488 5183032 5622272 7348096 8352512 9070306 9838976 10366064 14696192 16705024 18140612 19677952 20732128 29392384 36281224 39355904 41464256 72562448 82928512 145124896 165857024 290249792 331714048 580499584 1160999168 2321998336