Search a number
-
+
30014430 = 2354353439
BaseRepresentation
bin111001001111…
…1101111011110
32002110220001120
41302133233132
530140430210
62551151410
7513055425
oct162375736
962426046
1030014430
1115a40316
12a075566
1362ab724
143db42bc
15297d270
hex1c9fbde

30014430 has 64 divisors (see below), whose sum is σ = 75271680. Its totient is φ = 7652736.

The previous prime is 30014429. The next prime is 30014431. The reversal of 30014430 is 3441003.

It is an interprime number because it is at equal distance from previous prime (30014429) and next prime (30014431).

It is a Harshad number since it is a multiple of its sum of digits (15).

30014430 is a modest number, since divided by 14430 gives 30 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30014431) 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, 68151 + ... + 68589.

It is an arithmetic number, because the mean of its divisors is an integer number (1176120).

Almost surely, 230014430 is an apocalyptic number.

30014430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30014430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37635840).

30014430 is an abundant number, since it is smaller than the sum of its proper divisors (45257250).

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

30014430 is a wasteful number, since it uses less digits than its factorization.

30014430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545.

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 30014430 is about 5478.5426894385. The cubic root of 30014430 is about 310.7730619043.

Adding to 30014430 its reverse (3441003), we get a palindrome (33455433).

The spelling of 30014430 in words is "thirty million, fourteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 43 53 86 106 129 159 215 258 265 318 430 439 530 645 795 878 1290 1317 1590 2195 2279 2634 4390 4558 6585 6837 11395 13170 13674 18877 22790 23267 34185 37754 46534 56631 68370 69801 94385 113262 116335 139602 188770 232670 283155 349005 566310 698010 1000481 2000962 3001443 5002405 6002886 10004810 15007215 30014430