Search a number
-
+
3197014128 = 24327113171131
BaseRepresentation
bin1011111010001110…
…1001000001110000
322020210202010220200
42332203221001300
523021413423003
61245123035200
7142140112620
oct27643510160
98223663820
103197014128
1113a06a4040
1275280bb00
133bc464749
1422484c880
1513aa0d6a3
hexbe8e9070

3197014128 has 480 divisors, whose sum is σ = 11766104064. Its totient is φ = 786240000.

The previous prime is 3197014111. The next prime is 3197014141. The reversal of 3197014128 is 8214107913.

It is a happy number.

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 = 3197014092 and 3197014101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24404623 + ... + 24404753.

Almost surely, 23197014128 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 3197014128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5883052032).

3197014128 is an abundant number, since it is smaller than the sum of its proper divisors (8569089936).

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

3197014128 is a wasteful number, since it uses less digits than its factorization.

3197014128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 3197014128 is about 56542.1447064046. The cubic root of 3197014128 is about 1473.1541215562.

The spelling of 3197014128 in words is "three billion, one hundred ninety-seven million, fourteen thousand, one hundred twenty-eight".