Search a number
-
+
2011432304 = 247471392749
BaseRepresentation
bin111011111100100…
…0000010101110000
312012011212100101202
41313321000111300
513104411313204
6531331550332
7100562615060
oct16771002560
95164770352
102011432304
11942445952
1248175b3a8
1326094ab3b
141511d33a0
15bb8bee1e
hex77e40570

2011432304 has 80 divisors (see below), whose sum is σ = 4583040000. Its totient is φ = 837326592.

The previous prime is 2011432301. The next prime is 2011432327. The reversal of 2011432304 is 4032341102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011432301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 730322 + ... + 733070.

It is an arithmetic number, because the mean of its divisors is an integer number (57288000).

Almost surely, 22011432304 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 2011432304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291520000).

2011432304 is an abundant number, since it is smaller than the sum of its proper divisors (2571607696).

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

2011432304 is a wasteful number, since it uses less digits than its factorization.

2011432304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2950 (or 2944 counting only the distinct ones).

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

The square root of 2011432304 is about 44848.9944591849. The cubic root of 2011432304 is about 1262.3171236468.

Adding to 2011432304 its reverse (4032341102), we get a palindrome (6043773406).

The spelling of 2011432304 in words is "two billion, eleven million, four hundred thirty-two thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 47 56 94 112 139 188 278 329 376 556 658 752 973 1112 1316 1946 2224 2632 2749 3892 5264 5498 6533 7784 10996 13066 15568 19243 21992 26132 38486 43984 45731 52264 76972 91462 104528 129203 153944 182924 258406 307888 365848 382111 516812 731696 764222 904421 1033624 1528444 1808842 2067248 2674777 3056888 3617684 5349554 6113776 7235368 10699108 14470736 17959217 21398216 35918434 42796432 71836868 125714519 143673736 251429038 287347472 502858076 1005716152 2011432304