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4343040420 = 2235433734513
BaseRepresentation
bin1000000101101110…
…11000100110100100
3102012200012022102220
410002313120212210
532343304243140
61554542232340
7212424143265
oct40267304644
912180168386
104343040420
111929595604
12a125856b0
13542a0bc04
142d2b2c96c
151a6436bd0
hex102dd89a4

4343040420 has 96 divisors (see below), whose sum is σ = 12479440512. Its totient is φ = 1127927808.

The previous prime is 4343040413. The next prime is 4343040421. The reversal of 4343040420 is 240403434.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4343040421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 960084 + ... + 964596.

It is an arithmetic number, because the mean of its divisors is an integer number (129994172).

Almost surely, 24343040420 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 4343040420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6239720256).

4343040420 is an abundant number, since it is smaller than the sum of its proper divisors (8136400092).

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

4343040420 is a wasteful number, since it uses less digits than its factorization.

4343040420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4941 (or 4939 counting only the distinct ones).

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

The square root of 4343040420 is about 65901.7482317427. The cubic root of 4343040420 is about 1631.5408691988.

Adding to 4343040420 its reverse (240403434), we get a palindrome (4583443854).

The spelling of 4343040420 in words is "four billion, three hundred forty-three million, forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 373 430 516 645 746 860 1119 1290 1492 1865 2238 2580 3730 4476 4513 5595 7460 9026 11190 13539 16039 18052 22380 22565 27078 32078 45130 48117 54156 64156 67695 80195 90260 96234 135390 160390 192468 194059 240585 270780 320780 388118 481170 582177 776236 962340 970295 1164354 1683349 1940590 2328708 2910885 3366698 3881180 5050047 5821770 6733396 8416745 10100094 11643540 16833490 20200188 25250235 33666980 50500470 72384007 101000940 144768014 217152021 289536028 361920035 434304042 723840070 868608084 1085760105 1447680140 2171520210 4343040420