Search a number
-
+
1243430032 = 241353149757
BaseRepresentation
bin100101000011101…
…0011110010010000
310012122201210100011
41022013103302100
510021304230112
6323215004304
742545660305
oct11207236220
93178653304
101243430032
1158897a429
122a8509694
1316a7bc320
14bb1d70ac
1574268aa7
hex4a1d3c90

1243430032 has 80 divisors (see below), whose sum is σ = 2664673200. Its totient is φ = 558544896.

The previous prime is 1243430003. The next prime is 1243430033. The reversal of 1243430032 is 2300343421.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 69956496 + 1173473536 = 8364^2 + 34256^2 .

It is a super-2 number, since 2×12434300322 = 3092236488959042048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1243429985 and 1243430012.

It is not an unprimeable number, because it can be changed into a prime (1243430033) 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 15 ways as a sum of consecutive naturals, for example, 1642198 + ... + 1642954.

It is an arithmetic number, because the mean of its divisors is an integer number (33308415).

Almost surely, 21243430032 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 1243430032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332336600).

1243430032 is an abundant number, since it is smaller than the sum of its proper divisors (1421243168).

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

1243430032 is a wasteful number, since it uses less digits than its factorization.

1243430032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 1243430032 is about 35262.3032713406. The cubic root of 1243430032 is about 1075.3267532401.

Adding to 1243430032 its reverse (2300343421), we get a palindrome (3543773453).

The spelling of 1243430032 in words is "one billion, two hundred forty-three million, four hundred thirty thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 52 53 104 106 149 208 212 298 424 596 689 757 848 1192 1378 1514 1937 2384 2756 3028 3874 5512 6056 7748 7897 9841 11024 12112 15496 15794 19682 30992 31588 39364 40121 63176 78728 80242 102661 112793 126352 157456 160484 205322 225586 320968 410644 451172 521573 641936 821288 902344 1043146 1466309 1642576 1804688 2086292 2932618 4172584 5865236 5978029 8345168 11730472 11956058 23460944 23912116 47824232 77714377 95648464 155428754 310857508 621715016 1243430032