Search a number
-
+
3424505340 = 2235671675101
BaseRepresentation
bin1100110000011101…
…1100110111111100
322211122210220012010
43030013130313330
524003133132330
61323451011220
7150601546404
oct31407346774
98748726163
103424505340
1114a8053603
127b6a39b10
13427625b29
14246b49804
151509983b0
hexcc1dcdfc

3424505340 has 96 divisors (see below), whose sum is σ = 9791921664. Its totient is φ = 894009600.

The previous prime is 3424505333. The next prime is 3424505389. The reversal of 3424505340 is 435054243.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3424505298 and 3424505307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 668790 + ... + 673890.

It is an arithmetic number, because the mean of its divisors is an integer number (101999184).

Almost surely, 23424505340 is an apocalyptic number.

3424505340 is a gapful number since it is divisible by the number (30) 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 3424505340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4895960832).

3424505340 is an abundant number, since it is smaller than the sum of its proper divisors (6367416324).

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

3424505340 is a wasteful number, since it uses less digits than its factorization.

3424505340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5347 (or 5345 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 3424505340 is about 58519.2732354051. The cubic root of 3424505340 is about 1507.2985542504.

Adding to 3424505340 its reverse (435054243), we get a palindrome (3859559583).

The spelling of 3424505340 in words is "three billion, four hundred twenty-four million, five hundred five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 167 201 268 334 335 402 501 668 670 804 835 1002 1005 1340 1670 2004 2010 2505 3340 4020 5010 5101 10020 10202 11189 15303 20404 22378 25505 30606 33567 44756 51010 55945 61212 67134 76515 102020 111890 134268 153030 167835 223780 306060 335670 341767 671340 683534 851867 1025301 1367068 1703734 1708835 2050602 2555601 3407468 3417670 4101204 4259335 5111202 5126505 6835340 8518670 10222404 10253010 12778005 17037340 20506020 25556010 51112020 57075089 114150178 171225267 228300356 285375445 342450534 570750890 684901068 856126335 1141501780 1712252670 3424505340