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4214340 = 22325131801
BaseRepresentation
bin10000000100111001000100
321221002222200
4100010321010
52034324330
6230154500
750551464
oct20047104
97832880
104214340
112419329
1214b2a30
13b472c0
147b9ba4
15583a60
hex404e44

4214340 has 72 divisors (see below), whose sum is σ = 13774488. Its totient is φ = 1036800.

The previous prime is 4214323. The next prime is 4214377. The reversal of 4214340 is 434124.

It can be written as a sum of positive squares in 4 ways, for example, as 28224 + 4186116 = 168^2 + 2046^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 43 + 25 + 1 + 44 + 39 + 411 + 0 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1440 + ... + 3240.

Almost surely, 24214340 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 4214340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6887244).

4214340 is an abundant number, since it is smaller than the sum of its proper divisors (9560148).

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

4214340 is a wasteful number, since it uses less digits than its factorization.

4214340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4214340 is about 2052.8857737341. The cubic root of 4214340 is about 161.5262795628.

Adding to 4214340 its reverse (434124), we get a palindrome (4648464).

It can be divided in two parts, 4214 and 340, that added together give a palindrome (4554).

The spelling of 4214340 in words is "four million, two hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 1801 2340 3602 5403 7204 9005 10806 16209 18010 21612 23413 27015 32418 36020 46826 54030 64836 70239 81045 93652 108060 117065 140478 162090 210717 234130 280956 324180 351195 421434 468260 702390 842868 1053585 1404780 2107170 4214340