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3121348644 = 223297893857
BaseRepresentation
bin1011101000001100…
…0000000000100100
322001112100221101100
42322003000000210
522343031124034
61233421200100
7140231011551
oct27203000044
98045327340
103121348644
111361a13487
12731400030
133a989127b
14218793a28
15134064099
hexba0c0024

3121348644 has 36 divisors (see below), whose sum is σ = 7971425644. Its totient is φ = 1029722112.

The previous prime is 3121348639. The next prime is 3121348651. The reversal of 3121348644 is 4468431213.

3121348644 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 3 + 4 + 8 + 644 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1286083044 + 1835265600 = 35862^2 + 42840^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3121348599 and 3121348608.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 443437 + ... + 450420.

Almost surely, 23121348644 is an apocalyptic number.

It is an amenable number.

3121348644 is an abundant number, since it is smaller than the sum of its proper divisors (4850077000).

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

3121348644 is a wasteful number, since it uses less digits than its factorization.

3121348644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893964 (or 893959 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 3121348644 is about 55869.0311711238. The cubic root of 3121348644 is about 1461.4392269344.

Adding to 3121348644 its reverse (4468431213), we get a palindrome (7589779857).

The spelling of 3121348644 in words is "three billion, one hundred twenty-one million, three hundred forty-eight thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 97 194 291 388 582 873 1164 1746 3492 893857 1787714 2681571 3575428 5363142 8044713 10726284 16089426 32178852 86704129 173408258 260112387 346816516 520224774 780337161 1040449548 1560674322 3121348644