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1073220324 = 2231129327749
BaseRepresentation
bin111111111110000…
…000101011100100
32202210110020111220
4333332000223210
54144221022244
6254254500340
735411136141
oct7776005344
92683406456
101073220324
11500894350
1225b5046b0
13141465717
14a276b3c8
1564346319
hex3ff80ae4

1073220324 has 48 divisors (see below), whose sum is σ = 2741256000. Its totient is φ = 324096640.

The previous prime is 1073220257. The next prime is 1073220389. The reversal of 1073220324 is 4230223701.

It is a junction number, because it is equal to n+sod(n) for n = 1073220294 and 1073220303.

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, 24802 + ... + 52550.

It is an arithmetic number, because the mean of its divisors is an integer number (57109500).

Almost surely, 21073220324 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 1073220324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370628000).

1073220324 is an abundant number, since it is smaller than the sum of its proper divisors (1668035676).

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

1073220324 is a wasteful number, since it uses less digits than its factorization.

1073220324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28060 (or 28058 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 1073220324 is about 32760.0415750652. The cubic root of 1073220324 is about 1023.8341927684.

The spelling of 1073220324 in words is "one billion, seventy-three million, two hundred twenty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 293 586 879 1172 1758 3223 3516 6446 9669 12892 19338 27749 38676 55498 83247 110996 166494 305239 332988 610478 915717 1220956 1831434 3662868 8130457 16260914 24391371 32521828 48782742 89435027 97565484 178870054 268305081 357740108 536610162 1073220324