Search a number
-
+
30413124 = 223373821
BaseRepresentation
bin111010000000…
…1000101000100
32010020010222000
41310001011010
530241204444
63003505300
7516336000
oct164010504
963203860
1030413124
1116192915
12a228230
1363bb041
144079700
152a0b469
hex1d01144

30413124 has 96 divisors (see below), whose sum is σ = 92064000. Its totient is φ = 8678880.

The previous prime is 30413101. The next prime is 30413137. The reversal of 30413124 is 42131403.

It is a super-2 number, since 2×304131242 = 1849916222878752, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 30413097 and 30413106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36634 + ... + 37454.

It is an arithmetic number, because the mean of its divisors is an integer number (959000).

Almost surely, 230413124 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 30413124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46032000).

30413124 is an abundant number, since it is smaller than the sum of its proper divisors (61650876).

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

30413124 is a wasteful number, since it uses less digits than its factorization.

30413124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 30413124 is about 5514.8095162027. The cubic root of 30413124 is about 312.1430556990.

Adding to 30413124 its reverse (42131403), we get a palindrome (72544527).

The spelling of 30413124 in words is "thirty million, four hundred thirteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 343 378 441 588 686 756 821 882 1029 1323 1372 1642 1764 2058 2463 2646 3087 3284 4116 4926 5292 5747 6174 7389 9261 9852 11494 12348 14778 17241 18522 22167 22988 29556 34482 37044 40229 44334 51723 68964 80458 88668 103446 120687 155169 160916 206892 241374 281603 310338 362061 482748 563206 620676 724122 844809 1086183 1126412 1448244 1689618 2172366 2534427 3379236 4344732 5068854 7603281 10137708 15206562 30413124