Search a number
-
+
714297024 = 26327172613
BaseRepresentation
bin101010100100110…
…100111011000000
31211210002001022100
4222210310323000
52430330001044
6154513510400
723462265420
oct5244647300
91753061270
10714297024
11337224a21
1217b272400
13b4ca6a7c
146ac1a480
1542a98869
hex2a934ec0

714297024 has 252 divisors, whose sum is σ = 2489681584. Its totient is φ = 191766528.

The previous prime is 714297013. The next prime is 714297097. The reversal of 714297024 is 420792417.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a self number, because there is not a number n which added to its sum of digits gives 714297024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1164942 + ... + 1165554.

Almost surely, 2714297024 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 714297024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244840792).

714297024 is an abundant number, since it is smaller than the sum of its proper divisors (1775384560).

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

714297024 is a wasteful number, since it uses less digits than its factorization.

714297024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 642 counting only the distinct ones).

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

The square root of 714297024 is about 26726.3357757849. The cubic root of 714297024 is about 893.9082529753.

The spelling of 714297024 in words is "seven hundred fourteen million, two hundred ninety-seven thousand, twenty-four".