Search a number
-
+
3163016640 = 263572193539
BaseRepresentation
bin1011110010000111…
…1100110111000000
322011102202220010110
42330201330313000
522434213013030
61241510231320
7141245124600
oct27441746700
98142686113
103163016640
111383493243
12743355540
133b53c00a4
1422011cc00
15137a451b0
hexbc87cdc0

3163016640 has 336 divisors, whose sum is σ = 12300508800. Its totient is φ = 684730368.

The previous prime is 3163016639. The next prime is 3163016653. The reversal of 3163016640 is 466103613.

3163016640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3163016598 and 3163016607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 891991 + ... + 895529.

Almost surely, 23163016640 is an apocalyptic number.

3163016640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3163016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6150254400).

3163016640 is an abundant number, since it is smaller than the sum of its proper divisors (9137492160).

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

3163016640 is a wasteful number, since it uses less digits than its factorization.

3163016640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3592 (or 3575 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 3163016640 is about 56240.7026983127. The cubic root of 3163016640 is about 1467.9135934016.

The spelling of 3163016640 in words is "three billion, one hundred sixty-three million, sixteen thousand, six hundred forty".