Search a number
-
+
3145194832 = 241319776757
BaseRepresentation
bin1011101101110111…
…1101110101010000
322010012020110012111
42323131331311100
522420132213312
61240032235104
7140640500143
oct27335756520
98105213174
103145194832
11137442047a
1273939ba94
133b17c0240
1421ba0005a
151361c48a7
hexbb77dd50

3145194832 has 40 divisors (see below), whose sum is σ = 6595968456. Its totient is φ = 1444240896.

The previous prime is 3145194817. The next prime is 3145194883. The reversal of 3145194832 is 2384915413.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1502027536 + 1643167296 = 38756^2 + 40536^2 .

It is a super-3 number, since 3×31451948323 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2598 + ... + 79354.

Almost surely, 23145194832 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 3145194832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3297984228).

3145194832 is an abundant number, since it is smaller than the sum of its proper divisors (3450773624).

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

3145194832 is a wasteful number, since it uses less digits than its factorization.

3145194832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76975 (or 76969 counting only the distinct ones).

The product of its digits is 103680, while the sum is 40.

The square root of 3145194832 is about 56082.0366249301. The cubic root of 3145194832 is about 1465.1514451645.

The spelling of 3145194832 in words is "three billion, one hundred forty-five million, one hundred ninety-four thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 197 208 394 788 1576 2561 3152 5122 10244 20488 40976 76757 153514 307028 614056 997841 1228112 1995682 3991364 7982728 15121129 15965456 30242258 60484516 120969032 196574677 241938064 393149354 786298708 1572597416 3145194832