Search a number
-
+
3444343020 = 2233560110613
BaseRepresentation
bin1100110101001100…
…1000000011101100
322220001010202101000
43031103020003230
524023222434040
61325440120300
7151232301246
oct31523100354
98801122330
103444343020
111508272988
12801606090
1342b7803c1
14249631096
151525b6130
hexcd4c80ec

3444343020 has 96 divisors (see below), whose sum is σ = 10734575040. Its totient is φ = 916876800.

The previous prime is 3444342973. The next prime is 3444343093. The reversal of 3444343020 is 203434443.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 319234 + ... + 329846.

It is an arithmetic number, because the mean of its divisors is an integer number (111818490).

Almost surely, 23444343020 is an apocalyptic number.

3444343020 is a gapful number since it is divisible by the number (30) 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 3444343020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5367287520).

3444343020 is an abundant number, since it is smaller than the sum of its proper divisors (7290232020).

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

3444343020 is a wasteful number, since it uses less digits than its factorization.

3444343020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11232 (or 11224 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 3444343020 is about 58688.5254542998. The cubic root of 3444343020 is about 1510.2034753504.

Adding to 3444343020 its reverse (203434443), we get a palindrome (3647777463).

The spelling of 3444343020 in words is "three billion, four hundred forty-four million, three hundred forty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 601 1202 1803 2404 3005 3606 5409 6010 7212 9015 10613 10818 12020 16227 18030 21226 21636 27045 31839 32454 36060 42452 53065 54090 63678 64908 81135 95517 106130 108180 127356 159195 162270 191034 212260 286551 318390 324540 382068 477585 573102 636780 955170 1146204 1432755 1910340 2865510 5731020 6378413 12756826 19135239 25513652 31892065 38270478 57405717 63784130 76540956 95676195 114811434 127568260 172217151 191352390 229622868 287028585 344434302 382704780 574057170 688868604 861085755 1148114340 1722171510 3444343020