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4220034 = 2371359131
BaseRepresentation
bin10000000110010010000010
321221101210120
4100012102002
52040020114
6230241110
750604210
oct20062202
97841716
104220034
112422635
1214b6196
13b49a80
147bbcb0
155855a9
hex406482

4220034 has 64 divisors (see below), whose sum is σ = 10644480. Its totient is φ = 1085760.

The previous prime is 4219991. The next prime is 4220039. The reversal of 4220034 is 4300224.

It is a happy number.

It is a super-2 number, since 2×42200342 = 35617373922312, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4219995 and 4220022.

It is not an unprimeable number, because it can be changed into a prime (4220039) 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, 32149 + ... + 32279.

It is an arithmetic number, because the mean of its divisors is an integer number (166320).

Almost surely, 24220034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4220034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5322240).

4220034 is an abundant number, since it is smaller than the sum of its proper divisors (6424446).

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

4220034 is a wasteful number, since it uses less digits than its factorization.

4220034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215.

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 4220034 is about 2054.2721338713. The cubic root of 4220034 is about 161.5989929438.

Adding to 4220034 its reverse (4300224), we get a palindrome (8520258).

The spelling of 4220034 in words is "four million, two hundred twenty thousand, thirty-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 59 78 91 118 131 177 182 262 273 354 393 413 546 767 786 826 917 1239 1534 1703 1834 2301 2478 2751 3406 4602 5109 5369 5502 7729 10218 10738 11921 15458 16107 23187 23842 32214 35763 46374 54103 71526 100477 108206 162309 200954 301431 324618 602862 703339 1406678 2110017 4220034