Search a number
-
+
3145858600 = 235215729293
BaseRepresentation
bin1011101110000001…
…1111111000101000
322010020111011201111
42323200133320220
522420314433400
61240054400104
7140646233263
oct27340377050
98106434644
103145858600
111374834145
12739660034
133b19933c1
1421bb33cda
151362a63ba
hexbb81fe28

3145858600 has 24 divisors (see below), whose sum is σ = 7314121710. Its totient is φ = 1258343360.

The previous prime is 3145858589. The next prime is 3145858601. The reversal of 3145858600 is 68585413.

It can be written as a sum of positive squares in 3 ways, for example, as 2102956164 + 1042902436 = 45858^2 + 32294^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (3145858601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7864447 + ... + 7864846.

Almost surely, 23145858600 is an apocalyptic number.

It is an amenable number.

3145858600 is an abundant number, since it is smaller than the sum of its proper divisors (4168263110).

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

3145858600 is a wasteful number, since it uses less digits than its factorization.

3145858600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15729309 (or 15729300 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The square root of 3145858600 is about 56087.9541434701. The cubic root of 3145858600 is about 1465.2545073795.

The spelling of 3145858600 in words is "three billion, one hundred forty-five million, eight hundred fifty-eight thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 15729293 31458586 62917172 78646465 125834344 157292930 314585860 393232325 629171720 786464650 1572929300 3145858600