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1301042432 = 2822922193
BaseRepresentation
bin100110110001100…
…0101010100000000
310100200010210200202
41031203011110000
510131031324212
6333033504332
744145451424
oct11543052400
93320123622
101301042432
1160844a488
123038720a8
131797115c1
14c4b12b84
15793490c2
hex4d8c5500

1301042432 has 36 divisors (see below), whose sum is σ = 2608460820. Its totient is φ = 647651328.

The previous prime is 1301042401. The next prime is 1301042437. The reversal of 1301042432 is 2342401031.

It can be written as a sum of positive squares in 2 ways, for example, as 1223320576 + 77721856 = 34976^2 + 8816^2 .

It is a super-2 number, since 2×13010424322 = 3385422819728949248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301042437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 47528 + ... + 69720.

It is an arithmetic number, because the mean of its divisors is an integer number (72457245).

Almost surely, 21301042432 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 1301042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304230410).

1301042432 is an abundant number, since it is smaller than the sum of its proper divisors (1307418388).

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

1301042432 is an equidigital number, since it uses as much as digits as its factorization.

1301042432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22438 (or 22424 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1301042432 is about 36069.9657887279. The cubic root of 1301042432 is about 1091.6845238058.

Adding to 1301042432 its reverse (2342401031), we get a palindrome (3643443463).

The spelling of 1301042432 in words is "one billion, three hundred one million, forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 229 256 458 916 1832 3664 7328 14656 22193 29312 44386 58624 88772 177544 355088 710176 1420352 2840704 5082197 5681408 10164394 20328788 40657576 81315152 162630304 325260608 650521216 1301042432