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3041042432 = 2133779127
BaseRepresentation
bin1011010101000010…
…1010000000000000
321211221020221222012
42311100222000000
522212001324212
61221432032052
7135234301631
oct26520520000
97757227865
103041042432
11132065320a
1270a532628
133960546bc
1420bc4b888
1512be9e922
hexb542a000

3041042432 has 112 divisors (see below), whose sum is σ = 6374952960. Its totient is φ = 1449197568.

The previous prime is 3041042423. The next prime is 3041042443. The reversal of 3041042432 is 2342401403.

It is a junction number, because it is equal to n+sod(n) for n = 3041042398 and 3041042407.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23945153 + ... + 23945279.

Almost surely, 23041042432 is an apocalyptic number.

3041042432 is a gapful number since it is divisible by the number (32) 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 3041042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3187476480).

3041042432 is an abundant number, since it is smaller than the sum of its proper divisors (3333910528).

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

3041042432 is an equidigital number, since it uses as much as digits as its factorization.

3041042432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 3041042432 is about 55145.6474438373. The cubic root of 3041042432 is about 1448.7968508635.

Adding to 3041042432 its reverse (2342401403), we get a palindrome (5383443835).

The spelling of 3041042432 in words is "three billion, forty-one million, forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 37 64 74 79 127 128 148 158 254 256 296 316 508 512 592 632 1016 1024 1184 1264 2032 2048 2368 2528 2923 4064 4096 4699 4736 5056 5846 8128 8192 9398 9472 10033 10112 11692 16256 18796 18944 20066 20224 23384 32512 37592 37888 40132 40448 46768 65024 75184 75776 80264 80896 93536 130048 150368 151552 160528 161792 187072 260096 300736 303104 321056 323584 371221 374144 520192 601472 642112 647168 742442 748288 1040384 1202944 1284224 1484884 1496576 2405888 2568448 2969768 2993152 4811776 5136896 5939536 5986304 9623552 10273792 11879072 11972608 19247104 20547584 23758144 23945216 38494208 41095168 47516288 82190336 95032576 190065152 380130304 760260608 1520521216 3041042432