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3112432420 = 2251753172721
BaseRepresentation
bin1011100110000011…
…1111001100100100
322000220120221121211
42321200333030210
522333240314140
61232502121204
7140062144666
oct27140771444
98026527554
103112432420
1113579835a9
1272a420204
133a7a8bab6
14217512536
151333a22ea
hexb983f324

3112432420 has 48 divisors (see below), whose sum is σ = 7051202928. Its totient is φ = 1149624320.

The previous prime is 3112432409. The next prime is 3112432423. The reversal of 3112432420 is 242342113.

3112432420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2585664 + 3109846756 = 1608^2 + 55766^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3112432391 and 3112432400.

It is not an unprimeable number, because it can be changed into a prime (3112432423) 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, 68341 + ... + 104380.

It is an arithmetic number, because the mean of its divisors is an integer number (146900061).

Almost surely, 23112432420 is an apocalyptic number.

It is an amenable number.

3112432420 is an abundant number, since it is smaller than the sum of its proper divisors (3938770508).

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

3112432420 is a wasteful number, since it uses less digits than its factorization.

3112432420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172800 (or 172798 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 3112432420 is about 55789.1783413235. The cubic root of 3112432420 is about 1460.0463518155.

Adding to 3112432420 its reverse (242342113), we get a palindrome (3354774533).

The spelling of 3112432420 in words is "three billion, one hundred twelve million, four hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 53 68 85 106 170 212 265 340 530 901 1060 1802 3604 4505 9010 18020 172721 345442 690884 863605 1727210 2936257 3454420 5872514 9154213 11745028 14681285 18308426 29362570 36616852 45771065 58725140 91542130 155621621 183084260 311243242 622486484 778108105 1556216210 3112432420