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2034220344 = 2331337917203
BaseRepresentation
bin111100100111111…
…1011110100111000
312020202202002201020
41321033323310320
513131230022334
6533504222440
7101260405362
oct17117736470
95222662636
102034220344
1195429a942
1248930aa20
132655992a0
14154245d32
15bd8c1e49
hex793fbd38

2034220344 has 64 divisors (see below), whose sum is σ = 5491516800. Its totient is φ = 624226176.

The previous prime is 2034220343. The next prime is 2034220417. The reversal of 2034220344 is 4430224302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034220343) 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, 109647 + ... + 126849.

It is an arithmetic number, because the mean of its divisors is an integer number (85804950).

Almost surely, 22034220344 is an apocalyptic number.

2034220344 is a gapful number since it is divisible by the number (24) 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 2034220344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2745758400).

2034220344 is an abundant number, since it is smaller than the sum of its proper divisors (3457296456).

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

2034220344 is a wasteful number, since it uses less digits than its factorization.

2034220344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17604 (or 17600 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 2034220344 is about 45102.3319131062. The cubic root of 2034220344 is about 1267.0662734883.

Adding to 2034220344 its reverse (4430224302), we get a palindrome (6464444646).

The spelling of 2034220344 in words is "two billion, thirty-four million, two hundred twenty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 379 758 1137 1516 2274 3032 4548 4927 9096 9854 14781 17203 19708 29562 34406 39416 51609 59124 68812 103218 118248 137624 206436 223639 412872 447278 670917 894556 1341834 1789112 2683668 5367336 6519937 13039874 19559811 26079748 39119622 52159496 78239244 84759181 156478488 169518362 254277543 339036724 508555086 678073448 1017110172 2034220344