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2423432000 = 26531127539
BaseRepresentation
bin1001000001110010…
…1010001101000000
320020220010002201202
42100130222031000
514430344311000
61040250320332
7114024555263
oct22034521500
96226102652
102423432000
111033a67370
125777290a8
132c8101242
1418dbdccda
15e2b53dd5
hex9072a340

2423432000 has 112 divisors (see below), whose sum is σ = 6547469760. Its totient is φ = 881216000.

The previous prime is 2423431999. The next prime is 2423432017. The reversal of 2423432000 is 2343242.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 74231 + ... + 101769.

Almost surely, 22423432000 is an apocalyptic number.

2423432000 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 2423432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3273734880).

2423432000 is an abundant number, since it is smaller than the sum of its proper divisors (4124037760).

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

2423432000 is a wasteful number, since it uses less digits than its factorization.

2423432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27577 (or 27557 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 2423432000 is about 49228.3658067176. The cubic root of 2423432000 is about 1343.2090607980.

Adding to 2423432000 its reverse (2343242), we get a palindrome (2425775242).

The spelling of 2423432000 in words is "two billion, four hundred twenty-three million, four hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 704 800 880 1000 1100 1375 1600 1760 2000 2200 2750 3520 4000 4400 5500 8000 8800 11000 17600 22000 27539 44000 55078 88000 110156 137695 220312 275390 302929 440624 550780 605858 688475 881248 1101560 1211716 1376950 1514645 1762496 2203120 2423432 2753900 3029290 3442375 4406240 4846864 5507800 6058580 6884750 7573225 8812480 9693728 11015600 12117160 13769500 15146450 19387456 22031200 24234320 27539000 30292900 37866125 44062400 48468640 55078000 60585800 75732250 96937280 110156000 121171600 151464500 220312000 242343200 302929000 484686400 605858000 1211716000 2423432000