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4220341434 = 233372578219
BaseRepresentation
bin1111101110001101…
…0100110010111010
3101220010022120002000
43323203110302322
532120401411214
61534440321430
7206404211301
oct37343246272
911803276060
104220341434
1118762aaa91
12999473276
1352347b66a
142c070d438
1519a79b809
hexfb8d4cba

4220341434 has 64 divisors (see below), whose sum is σ = 9670665600. Its totient is φ = 1363267584.

The previous prime is 4220341309. The next prime is 4220341439. The reversal of 4220341434 is 4341430224.

It is a happy number.

4220341434 is a `hidden beast` number, since 4 + 220 + 3 + 4 + 1 + 434 = 666.

It is a super-2 number, since 2×42203414342 = 35622563639074352712, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4220341398 and 4220341407.

It is not an unprimeable number, because it can be changed into a prime (4220341439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 509377 + ... + 517595.

It is an arithmetic number, because the mean of its divisors is an integer number (151104150).

Almost surely, 24220341434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4220341434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4835332800).

4220341434 is an abundant number, since it is smaller than the sum of its proper divisors (5450324166).

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

4220341434 is a wasteful number, since it uses less digits than its factorization.

4220341434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8524 (or 8518 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 4220341434 is about 64964.1549933500. The cubic root of 4220341434 is about 1616.0291706842.

Adding to 4220341434 its reverse (4341430224), we get a palindrome (8561771658).

The spelling of 4220341434 in words is "four billion, two hundred twenty million, three hundred forty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 257 333 514 666 771 999 1542 1998 2313 4626 6939 8219 9509 13878 16438 19018 24657 28527 49314 57054 73971 85581 147942 171162 221913 256743 304103 443826 513486 608206 912309 1824618 2112283 2736927 4224566 5473854 6336849 8210781 12673698 16421562 19010547 38021094 57031641 78154471 114063282 156308942 234463413 468926826 703390239 1406780478 2110170717 4220341434