Search a number
-
+
3144388760 = 235374349409
BaseRepresentation
bin1011101101101011…
…1001000010011000
322010010201111110222
42323122321002120
522414430420020
61240003055212
7140630602112
oct27332710230
98103644428
103144388760
111373a1a8a7
12739071508
133b159a386
1421b8703b2
151360b5b25
hexbb6b9098

3144388760 has 64 divisors (see below), whose sum is σ = 7435216800. Its totient is φ = 1195278336.

The previous prime is 3144388747. The next prime is 3144388843. The reversal of 3144388760 is 678834413.

3144388760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38936 + ... + 88344.

Almost surely, 23144388760 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 3144388760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3717608400).

3144388760 is an abundant number, since it is smaller than the sum of its proper divisors (4290828040).

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

3144388760 is a wasteful number, since it uses less digits than its factorization.

3144388760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49500 (or 49496 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The square root of 3144388760 is about 56074.8496208416. The cubic root of 3144388760 is about 1465.0262681324.

The spelling of 3144388760 in words is "three billion, one hundred forty-four million, three hundred eighty-eight thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 37 40 43 74 86 148 172 185 215 296 344 370 430 740 860 1480 1591 1720 3182 6364 7955 12728 15910 31820 49409 63640 98818 197636 247045 395272 494090 988180 1828133 1976360 2124587 3656266 4249174 7312532 8498348 9140665 10622935 14625064 16996696 18281330 21245870 36562660 42491740 73125320 78609719 84983480 157219438 314438876 393048595 628877752 786097190 1572194380 3144388760