Search a number
-
+
313491024 = 24327311577
BaseRepresentation
bin10010101011110…
…111111001010000
3210211212222211200
4102223313321100
51120223203044
651035111200
710524426000
oct2253677120
9724788750
10313491024
11150a594a0
1288ba2500
134cc42662
142d8c6000
151c7c6369
hex12af7e50

313491024 has 240 divisors, whose sum is σ = 1118083200. Its totient is φ = 81285120.

The previous prime is 313490993. The next prime is 313491037. The reversal of 313491024 is 420194313.

It is a super-3 number, since 3×3134910243 (a number of 26 digits) contains 333 as substring.

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, 543024 + ... + 543600.

It is an arithmetic number, because the mean of its divisors is an integer number (4658680).

Almost surely, 2313491024 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 313491024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559041600).

313491024 is an abundant number, since it is smaller than the sum of its proper divisors (804592176).

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

313491024 is a wasteful number, since it uses less digits than its factorization.

313491024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 313491024 is about 17705.6777334278. The cubic root of 313491024 is about 679.3209946472.

The spelling of 313491024 in words is "three hundred thirteen million, four hundred ninety-one thousand, twenty-four".