Search a number
-
+
3145134000 = 24353524189
BaseRepresentation
bin1011101101110110…
…1110111110110000
322010012010100202110
42323131232332300
522420123242000
61240031045320
7140640124611
oct27335567660
98105110673
103145134000
1113743897a8
12739370840
133b179b648
1421b9c5c08
151361b1850
hexbb76efb0

3145134000 has 80 divisors (see below), whose sum is σ = 10139931360. Its totient is φ = 838700800.

The previous prime is 3145133987. The next prime is 3145134001. The reversal of 3145134000 is 4315413.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×31451340003 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3145134001) 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, 256095 + ... + 268094.

It is an arithmetic number, because the mean of its divisors is an integer number (126749142).

Almost surely, 23145134000 is an apocalyptic number.

3145134000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3145134000 is an abundant number, since it is smaller than the sum of its proper divisors (6994797360).

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

3145134000 is a wasteful number, since it uses less digits than its factorization.

3145134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524215 (or 524199 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 3145134000 is about 56081.4942739581. The cubic root of 3145134000 is about 1465.1419991500.

Adding to 3145134000 its reverse (4315413), we get a palindrome (3149449413).

The spelling of 3145134000 in words is "three billion, one hundred forty-five million, one hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 524189 1048378 1572567 2096756 2620945 3145134 4193512 5241890 6290268 7862835 8387024 10483780 12580536 13104725 15725670 20967560 25161072 26209450 31451340 39314175 41935120 52418900 62902680 65523625 78628350 104837800 125805360 131047250 157256700 196570875 209675600 262094500 314513400 393141750 524189000 629026800 786283500 1048378000 1572567000 3145134000