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1045355344 = 2411291091879
BaseRepresentation
bin111110010011101…
…101101101010000
32200212000112221121
4332103231231100
54120102332334
6251421332024
734622242135
oct7623555520
92625015847
101045355344
11497091a40
12252107014
1313875a477
149cb9658c
1561b8edb4
hex3e4edb50

1045355344 has 80 divisors (see below), whose sum is σ = 2307888000. Its totient is φ = 454325760.

The previous prime is 1045355287. The next prime is 1045355387. The reversal of 1045355344 is 4435535401.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 555397 + ... + 557275.

It is an arithmetic number, because the mean of its divisors is an integer number (28848600).

Almost surely, 21045355344 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 1045355344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153944000).

1045355344 is an abundant number, since it is smaller than the sum of its proper divisors (1262532656).

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

1045355344 is a wasteful number, since it uses less digits than its factorization.

1045355344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

The square root of 1045355344 is about 32331.9554620502. The cubic root of 1045355344 is about 1014.8954712905.

It can be divided in two parts, 10 and 45355344, that added together give a palindrome (45355354).

The spelling of 1045355344 in words is "one billion, forty-five million, three hundred fifty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 109 116 176 218 232 319 436 464 638 872 1199 1276 1744 1879 2398 2552 3161 3758 4796 5104 6322 7516 9592 12644 15032 19184 20669 25288 30064 34771 41338 50576 54491 69542 82676 108982 139084 165352 204811 217964 278168 330704 409622 435928 556336 599401 819244 871856 1198802 1638488 2252921 2397604 3276976 4505842 4795208 5939519 9011684 9590416 11879038 18023368 23758076 36046736 47516152 65334709 95032304 130669418 261338836 522677672 1045355344