Search a number
-
+
4344340 = 22572111331
BaseRepresentation
bin10000100100101000010100
322011201022111
4100210220110
52103004330
6233040404
751632500
oct20445024
98151274
104344340
1124a7a70
121556104
13b91520
14811300
155ac32a
hex424a14

4344340 has 144 divisors (see below), whose sum is σ = 12870144. Its totient is φ = 1209600.

The previous prime is 4344337. The next prime is 4344349. The reversal of 4344340 is 434434.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4344349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140125 + ... + 140155.

It is an arithmetic number, because the mean of its divisors is an integer number (89376).

Almost surely, 24344340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4344340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6435072).

4344340 is an abundant number, since it is smaller than the sum of its proper divisors (8525804).

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

4344340 is a wasteful number, since it uses less digits than its factorization.

4344340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 4344340 is about 2084.3080386546. The cubic root of 4344340 is about 163.1703589799.

Adding to 4344340 its reverse (434434), we get a palindrome (4778774).

It can be divided in two parts, 434 and 4340, that added together give a palindrome (4774).

The spelling of 4344340 in words is "four million, three hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 31 35 44 49 52 55 62 65 70 77 91 98 110 124 130 140 143 154 155 182 196 217 220 245 260 286 308 310 341 364 385 403 434 455 490 539 572 620 637 682 715 770 806 868 910 980 1001 1078 1085 1274 1364 1430 1519 1540 1612 1705 1820 2002 2015 2156 2170 2387 2548 2695 2821 2860 3038 3185 3410 4004 4030 4340 4433 4774 5005 5390 5642 6076 6370 6820 7007 7595 8060 8866 9548 10010 10780 11284 11935 12740 14014 14105 15190 16709 17732 19747 20020 22165 23870 28028 28210 30380 31031 33418 35035 39494 44330 47740 56420 62062 66836 70070 78988 83545 88660 98735 124124 140140 155155 167090 197470 217217 310310 334180 394940 434434 620620 868868 1086085 2172170 4344340