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2344430000 = 24541121313
BaseRepresentation
bin1000101110111101…
…0010100110110000
320001101110101100202
42023233102212300
514300133230000
61024345134332
7112045216613
oct21357224660
96041411322
102344430000
11aa3407a60
1255518a3a8
132b49301b3
1418351617a
15dac4add5
hex8bbd29b0

2344430000 has 100 divisors (see below), whose sum is σ = 6192399048. Its totient is φ = 852480000.

The previous prime is 2344429993. The next prime is 2344430003. The reversal of 2344430000 is 344432.

It is a happy number.

2344430000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

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

It is not an unprimeable number, because it can be changed into a prime (2344430003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 99344 + ... + 120656.

Almost surely, 22344430000 is an apocalyptic number.

2344430000 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 2344430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096199524).

2344430000 is an abundant number, since it is smaller than the sum of its proper divisors (3847969048).

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

2344430000 is a wasteful number, since it uses less digits than its factorization.

2344430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21352 (or 21331 counting only the distinct ones).

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

The square root of 2344430000 is about 48419.3143280654. The cubic root of 2344430000 is about 1328.4516626701.

Adding to 2344430000 its reverse (344432), we get a palindrome (2344774432).

The spelling of 2344430000 in words is "two billion, three hundred forty-four million, four hundred thirty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 21313 22000 27500 42626 55000 85252 106565 110000 170504 213130 234443 341008 426260 468886 532825 852520 937772 1065650 1172215 1705040 1875544 2131300 2344430 2664125 3751088 4262600 4688860 5328250 5861075 8525200 9377720 10656500 11722150 13320625 18755440 21313000 23444300 26641250 29305375 42626000 46888600 53282500 58610750 93777200 106565000 117221500 146526875 213130000 234443000 293053750 468886000 586107500 1172215000 2344430000