Search a number
-
+
4302323040 = 25358963173
BaseRepresentation
bin1000000000111000…
…00011110101100000
3102002211120122200210
410000130003311200
532302343314130
61550525414120
7211421066601
oct40034036540
912084518623
104302323040
111908604a84
12a00a0a340
135374539a2
142cb56dda8
151a2a925b0
hex100703d60

4302323040 has 48 divisors (see below), whose sum is σ = 13552319088. Its totient is φ = 1147286016.

The previous prime is 4302323021. The next prime is 4302323041. The reversal of 4302323040 is 403232034.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×43023230403 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4302322998 and 4302323016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4302323041) 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 7 ways as a sum of consecutive naturals, for example, 4481107 + ... + 4482066.

It is an arithmetic number, because the mean of its divisors is an integer number (282339981).

Almost surely, 24302323040 is an apocalyptic number.

4302323040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4302323040 is an abundant number, since it is smaller than the sum of its proper divisors (9249996048).

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

4302323040 is a wasteful number, since it uses less digits than its factorization.

4302323040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8963191 (or 8963183 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 4302323040 is about 65592.0958652794. The cubic root of 4302323040 is about 1626.4261140599.

Adding to 4302323040 its reverse (403232034), we get a palindrome (4705555074).

The spelling of 4302323040 in words is "four billion, three hundred two million, three hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 8963173 17926346 26889519 35852692 44815865 53779038 71705384 89631730 107558076 134447595 143410768 179263460 215116152 268895190 286821536 358526920 430232304 537790380 717053840 860464608 1075580760 1434107680 2151161520 4302323040