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1100430324 = 2232741731459
BaseRepresentation
bin100000110010111…
…0011101111110100
32211200122122121200
41001211303233310
54223202232244
6301110012500
736161334450
oct10145635764
92750578550
101100430324
11515189654
12268647130
13146ca1806
14a6211660
156691d669
hex41973bf4

1100430324 has 144 divisors (see below), whose sum is σ = 3303431040. Its totient is φ = 302330880.

The previous prime is 1100430323. The next prime is 1100430347. The reversal of 1100430324 is 4230340011.

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 = 1100430297 and 1100430306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100430323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 753507 + ... + 754965.

Almost surely, 21100430324 is an apocalyptic number.

1100430324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100430324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651715520).

1100430324 is an abundant number, since it is smaller than the sum of its proper divisors (2203000716).

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

1100430324 is a wasteful number, since it uses less digits than its factorization.

1100430324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1585 counting only the distinct ones).

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

The square root of 1100430324 is about 33172.7346475988. The cubic root of 1100430324 is about 1032.4147084851.

Adding to 1100430324 its reverse (4230340011), we get a palindrome (5330770335).

It can be divided in two parts, 11004 and 30324, that added together give a triangular number (41328 = T287).

The spelling of 1100430324 in words is "one billion, one hundred million, four hundred thirty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 73 82 84 123 126 146 164 219 246 252 287 292 369 438 492 511 574 657 738 861 876 1022 1148 1314 1459 1476 1533 1722 2044 2583 2628 2918 2993 3066 3444 4377 4599 5166 5836 5986 6132 8754 8979 9198 10213 10332 11972 13131 17508 17958 18396 20426 20951 26262 26937 30639 35916 40852 41902 52524 53874 59819 61278 62853 83804 91917 106507 107748 119638 122556 125706 179457 183834 188559 213014 239276 251412 319521 358914 367668 377118 418733 426028 538371 639042 717828 745549 754236 837466 958563 1076742 1256199 1278084 1491098 1674932 1917126 2153484 2236647 2512398 2982196 3768597 3834252 4366787 4473294 5024796 6709941 7537194 8733574 8946588 13100361 13419882 15074388 17467148 26200722 26839764 30567509 39301083 52401444 61135018 78602166 91702527 122270036 157204332 183405054 275107581 366810108 550215162 1100430324