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4214436 = 2231773283
BaseRepresentation
bin10000000100111010100100
321221010010020
4100010322210
52034330221
6230155140
750551662
oct20047244
97833106
104214436
112419406
1214b2ab0
13b47365
147b9c32
15583ac6
hex404ea4

4214436 has 48 divisors (see below), whose sum is σ = 10592064. Its totient is φ = 1299456.

The previous prime is 4214407. The next prime is 4214437. The reversal of 4214436 is 6344124.

It is a super-3 number, since 3×42144363 (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 44 + 23 + 1 + 47 + 411 + 37 + 64 .

It is not an unprimeable number, because it can be changed into a prime (4214437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14751 + ... + 15033.

It is an arithmetic number, because the mean of its divisors is an integer number (220668).

Almost surely, 24214436 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 4214436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5296032).

4214436 is an abundant number, since it is smaller than the sum of its proper divisors (6377628).

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

4214436 is a wasteful number, since it uses less digits than its factorization.

4214436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 378 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 4214436 is about 2052.9091553208. The cubic root of 4214436 is about 161.5275060423.

The spelling of 4214436 in words is "four million, two hundred fourteen thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 17 34 51 68 73 102 146 204 219 283 292 438 566 849 876 1132 1241 1698 2482 3396 3723 4811 4964 7446 9622 14433 14892 19244 20659 28866 41318 57732 61977 82636 123954 247908 351203 702406 1053609 1404812 2107218 4214436