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4314317040 = 24335111071697
BaseRepresentation
bin1000000010010011…
…10100000011110000
3102010200011000101000
410001021310003300
532313431121130
61552034442000
7211625042535
oct40111640360
912120130330
104314317040
111914357280
12a04a33300
13539a93027
142ccdb2d8c
151a3b61260
hex1012740f0

4314317040 has 320 divisors, whose sum is σ = 16372523520. Its totient is φ = 1035509760.

The previous prime is 4314317017. The next prime is 4314317047. The reversal of 4314317040 is 407134134.

It is a super-2 number, since 2×43143170402 = 37226663043268723200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4314316995 and 4314317013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4314317047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2541472 + ... + 2543168.

It is an arithmetic number, because the mean of its divisors is an integer number (51164136).

Almost surely, 24314317040 is an apocalyptic number.

4314317040 is a gapful number since it is divisible by the number (40) 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 4314317040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8186261760).

4314317040 is an abundant number, since it is smaller than the sum of its proper divisors (12058206480).

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

4314317040 is a wasteful number, since it uses less digits than its factorization.

4314317040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 4314317040 is about 65683.4609319576. The cubic root of 4314317040 is about 1627.9360932924.

The spelling of 4314317040 in words is "four billion, three hundred fourteen million, three hundred seventeen thousand, forty".