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11430324 = 22321719983
BaseRepresentation
bin101011100110…
…100110110100
3210111201110100
4223212212310
510411232244
61044554100
7166104363
oct53464664
923451410
1011430324
1164a7854
1239b2930
1324a2909
1417377da
15100bb69
hexae69b4

11430324 has 72 divisors (see below), whose sum is σ = 32235840. Its totient is φ = 3393792.

The previous prime is 11430319. The next prime is 11430329. The reversal of 11430324 is 42303411.

It is an interprime number because it is at equal distance from previous prime (11430319) and next prime (11430329).

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 = 11430297 and 11430306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11430329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11137 + ... + 12119.

It is an arithmetic number, because the mean of its divisors is an integer number (447720).

Almost surely, 211430324 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 11430324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16117920).

11430324 is an abundant number, since it is smaller than the sum of its proper divisors (20805516).

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

11430324 is a wasteful number, since it uses less digits than its factorization.

11430324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1024 counting only the distinct ones).

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

The square root of 11430324 is about 3380.8762177873. The cubic root of 11430324 is about 225.2610895077.

Adding to 11430324 its reverse (42303411), we get a palindrome (53733735).

The spelling of 11430324 in words is "eleven million, four hundred thirty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 19 34 36 38 51 57 68 76 102 114 153 171 204 228 306 323 342 612 646 684 969 983 1292 1938 1966 2907 2949 3876 3932 5814 5898 8847 11628 11796 16711 17694 18677 33422 35388 37354 50133 56031 66844 74708 100266 112062 150399 168093 200532 224124 300798 317509 336186 601596 635018 672372 952527 1270036 1905054 2857581 3810108 5715162 11430324