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3145433220 = 2232517474629
BaseRepresentation
bin1011101101111011…
…1000000010000100
322010012200120012200
42323132320002010
522420212330340
61240041314500
7140642512146
oct27336700204
98105616180
103145433220
111374573596
12739495a30
133b18748b7
1421ba62c96
15136220330
hexbb7b8084

3145433220 has 36 divisors (see below), whose sum is σ = 9541147980. Its totient is φ = 838782144.

The previous prime is 3145433183. The next prime is 3145433227. The reversal of 3145433220 is 223345413.

3145433220 is a `hidden beast` number, since 3 + 1 + 4 + 5 + 433 + 220 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 614940804 + 2530492416 = 24798^2 + 50304^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (3145433227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8737135 + ... + 8737494.

Almost surely, 23145433220 is an apocalyptic number.

3145433220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3145433220 is an abundant number, since it is smaller than the sum of its proper divisors (6395714760).

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

3145433220 is a wasteful number, since it uses less digits than its factorization.

3145433220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17474644 (or 17474639 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 3145433220 is about 56084.1619354341. The cubic root of 3145433220 is about 1465.1884609634.

Adding to 3145433220 its reverse (223345413), we get a palindrome (3368778633).

The spelling of 3145433220 in words is "three billion, one hundred forty-five million, four hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 17474629 34949258 52423887 69898516 87373145 104847774 157271661 174746290 209695548 262119435 314543322 349492580 524238870 629086644 786358305 1048477740 1572716610 3145433220