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2320401000 = 233532333629
BaseRepresentation
bin1000101001001110…
…1000001001101000
312222201020120202210
42022103220021220
514223010313000
61022130125120
7111334040331
oct21223501150
95881216683
102320401000
11a90895685
125491207a0
132ac968c58
1418025d288
15d8aa1350
hex8a4e8268

2320401000 has 128 divisors (see below), whose sum is σ = 7554643200. Its totient is φ = 591852800.

The previous prime is 2320400993. The next prime is 2320401071. The reversal of 2320401000 is 1040232.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52186 + ... + 85814.

It is an arithmetic number, because the mean of its divisors is an integer number (59020650).

Almost surely, 22320401000 is an apocalyptic number.

2320401000 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 2320401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3777321600).

2320401000 is an abundant number, since it is smaller than the sum of its proper divisors (5234242200).

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

2320401000 is a wasteful number, since it uses less digits than its factorization.

2320401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33676 (or 33662 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2320401000 is about 48170.5407899891. The cubic root of 2320401000 is about 1323.8974570930.

Adding to 2320401000 its reverse (1040232), we get a palindrome (2321441232).

The spelling of 2320401000 in words is "two billion, three hundred twenty million, four hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 125 138 150 184 200 230 250 276 300 345 375 460 500 552 575 600 690 750 920 1000 1150 1380 1500 1725 2300 2760 2875 3000 3450 4600 5750 6900 8625 11500 13800 17250 23000 33629 34500 67258 69000 100887 134516 168145 201774 269032 336290 403548 504435 672580 773467 807096 840725 1008870 1345160 1546934 1681450 2017740 2320401 2522175 3093868 3362900 3867335 4035480 4203625 4640802 5044350 6187736 6725800 7734670 8407250 9281604 10088700 11602005 12610875 15469340 16814500 18563208 19336675 20177400 23204010 25221750 30938680 33629000 38673350 46408020 50443500 58010025 77346700 92816040 96683375 100887000 116020050 154693400 193366750 232040100 290050125 386733500 464080200 580100250 773467000 1160200500 2320401000