Search a number
-
+
4314330 = 233519292
BaseRepresentation
bin10000011101010011011010
322010012011000
4100131103122
52101024310
6232245430
751446136
oct20352332
98105130
104314330
112487469
121540876
13b80977
148043c6
155a34c0
hex41d4da

4314330 has 96 divisors (see below), whose sum is σ = 12542400. Its totient is φ = 1052352.

The previous prime is 4314313. The next prime is 4314337. The reversal of 4314330 is 334134.

It is a super-2 number, since 2×43143302 = 37226886697800, which contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4314337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148756 + ... + 148784.

It is an arithmetic number, because the mean of its divisors is an integer number (130650).

Almost surely, 24314330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4314330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6271200).

4314330 is an abundant number, since it is smaller than the sum of its proper divisors (8228070).

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

4314330 is a wasteful number, since it uses less digits than its factorization.

4314330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 4314330 is about 2077.0965312185. The cubic root of 4314330 is about 162.7937723371.

Adding to 4314330 its reverse (334134), we get a palindrome (4648464).

It can be divided in two parts, 431 and 4330, that added together give a square (4761 = 692).

The spelling of 4314330 in words is "four million, three hundred fourteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 29 30 38 45 54 57 58 87 90 95 114 135 145 171 174 190 261 270 285 290 342 435 513 522 551 570 783 841 855 870 1026 1102 1305 1566 1653 1682 1710 2523 2565 2610 2755 3306 3915 4205 4959 5046 5130 5510 7569 7830 8265 8410 9918 12615 14877 15138 15979 16530 22707 24795 25230 29754 31958 37845 45414 47937 49590 74385 75690 79895 95874 113535 143811 148770 159790 227070 239685 287622 431433 479370 719055 862866 1438110 2157165 4314330