Search a number
-
+
3124220320 = 2551312711827
BaseRepresentation
bin1011101000110111…
…1101000110100000
322001201202211120201
42322031331012200
522344300022240
61234002514544
7140264302024
oct27215750640
98051684521
103124220320
1113635a4a71
12732365a54
133aa3583a0
14218d00384
1513442ed9a
hexba37d1a0

3124220320 has 96 divisors (see below), whose sum is σ = 8012003328. Its totient is φ = 1144378368.

The previous prime is 3124220317. The next prime is 3124220327. The reversal of 3124220320 is 230224213.

3124220320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3124220327) 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, 258247 + ... + 270073.

It is an arithmetic number, because the mean of its divisors is an integer number (83458368).

Almost surely, 23124220320 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 3124220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4006001664).

3124220320 is an abundant number, since it is smaller than the sum of its proper divisors (4887783008).

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

3124220320 is a wasteful number, since it uses less digits than its factorization.

3124220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11982 (or 11974 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 3124220320 is about 55894.7253325392. The cubic root of 3124220320 is about 1461.8872697583.

Adding to 3124220320 its reverse (230224213), we get a palindrome (3354444533).

The spelling of 3124220320 in words is "three billion, one hundred twenty-four million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 127 130 160 208 254 260 416 508 520 635 1016 1040 1270 1651 2032 2080 2540 3302 4064 5080 6604 8255 10160 11827 13208 16510 20320 23654 26416 33020 47308 52832 59135 66040 94616 118270 132080 153751 189232 236540 264160 307502 378464 473080 615004 768755 946160 1230008 1502029 1537510 1892320 2460016 3004058 3075020 4920032 6008116 6150040 7510145 12016232 12300080 15020290 19526377 24032464 24600160 30040580 39052754 48064928 60081160 78105508 97631885 120162320 156211016 195263770 240324640 312422032 390527540 624844064 781055080 1562110160 3124220320