Search a number
-
+
4348980 = 2232537653
BaseRepresentation
bin10000100101110000110100
322011221200100
4100211300310
52103131410
6233114100
751652146
oct20456064
98157610
104348980
1125004a9
121558930
13b9367c
14812c96
155ad8c0
hex425c34

4348980 has 72 divisors (see below), whose sum is σ = 13569192. Its totient is φ = 1126656.

The previous prime is 4348979. The next prime is 4348987. The reversal of 4348980 is 898434.

It can be written as a sum of positive squares in 4 ways, for example, as 685584 + 3663396 = 828^2 + 1914^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4348987) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6334 + ... + 6986.

It is an arithmetic number, because the mean of its divisors is an integer number (188461).

Almost surely, 24348980 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 4348980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6784596).

4348980 is an abundant number, since it is smaller than the sum of its proper divisors (9220212).

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

4348980 is a wasteful number, since it uses less digits than its factorization.

4348980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4348980 is about 2085.4208208417. The cubic root of 4348980 is about 163.2284300240.

The spelling of 4348980 in words is "four million, three hundred forty-eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 653 666 740 1110 1306 1332 1665 1959 2220 2612 3265 3330 3918 5877 6530 6660 7836 9795 11754 13060 19590 23508 24161 29385 39180 48322 58770 72483 96644 117540 120805 144966 217449 241610 289932 362415 434898 483220 724830 869796 1087245 1449660 2174490 4348980