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2034443000 = 235310120143
BaseRepresentation
bin111100101000011…
…0010001011111000
312020210011102010202
41321100302023320
513131304134000
6533513101332
7101262323462
oct17120621370
95223142122
102034443000
11954432157
124893b7848
13265646735
141542a3132
15bd917dd5
hex794322f8

2034443000 has 64 divisors (see below), whose sum is σ = 4807969920. Its totient is φ = 805680000.

The previous prime is 2034442973. The next prime is 2034443009. The reversal of 2034443000 is 3444302.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034443009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90929 + ... + 111071.

It is an arithmetic number, because the mean of its divisors is an integer number (75124530).

Almost surely, 22034443000 is an apocalyptic number.

2034443000 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 2034443000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2403984960).

2034443000 is an abundant number, since it is smaller than the sum of its proper divisors (2773526920).

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

2034443000 is a wasteful number, since it uses less digits than its factorization.

2034443000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20265 (or 20251 counting only the distinct ones).

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

The square root of 2034443000 is about 45104.8001880066. The cubic root of 2034443000 is about 1267.1125008003.

Adding to 2034443000 its reverse (3444302), we get a palindrome (2037887302).

The spelling of 2034443000 in words is "two billion, thirty-four million, four hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 404 500 505 808 1000 1010 2020 2525 4040 5050 10100 12625 20143 20200 25250 40286 50500 80572 100715 101000 161144 201430 402860 503575 805720 1007150 2014300 2034443 2517875 4028600 4068886 5035750 8137772 10071500 10172215 16275544 20143000 20344430 40688860 50861075 81377720 101722150 203444300 254305375 406888600 508610750 1017221500 2034443000