Search a number
-
+
3014387712 = 21132761383
BaseRepresentation
bin1011001110101011…
…1110100000000000
321210002002202120100
42303222332200000
522133140401322
61215040442400
7134461605240
oct26352764000
97702082510
103014387712
1113075a8116
12701619400
1339068128b
142084adb20
15129986dac
hexb3abe800

3014387712 has 288 divisors, whose sum is σ = 10139351040. Its totient is φ = 844922880.

The previous prime is 3014387699. The next prime is 3014387729. The reversal of 3014387712 is 2177834103.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7870273 + ... + 7870655.

It is an arithmetic number, because the mean of its divisors is an integer number (35206080).

Almost surely, 23014387712 is an apocalyptic number.

3014387712 is a gapful number since it is divisible by the number (32) 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 3014387712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5069675520).

3014387712 is an abundant number, since it is smaller than the sum of its proper divisors (7124963328).

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

3014387712 is a wasteful number, since it uses less digits than its factorization.

3014387712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 3014387712 is about 54903.4398922326. The cubic root of 3014387712 is about 1444.5515243975.

It can be divided in two parts, 30143 and 87712, that added together give a triangular number (117855 = T485).

The spelling of 3014387712 in words is "three billion, fourteen million, three hundred eighty-seven thousand, seven hundred twelve".