Search a number
-
+
3324142500 = 22354763317
BaseRepresentation
bin1100011000100010…
…0110001110100100
322120122221221020220
43012020212032210
523301440030000
61305503524340
7145242513360
oct30610461644
98518857226
103324142500
111456434508
127892b96b0
1340c8b6133
142376a22a0
15146c711a0
hexc62263a4

3324142500 has 120 divisors (see below), whose sum is σ = 11077104192. Its totient is φ = 759792000.

The previous prime is 3324142463. The next prime is 3324142501. The reversal of 3324142500 is 52414233.

It is a super-2 number, since 2×33241425002 = 22099846720612500000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3324142501) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 20842 + ... + 84158.

Almost surely, 23324142500 is an apocalyptic number.

3324142500 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 3324142500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5538552096).

3324142500 is an abundant number, since it is smaller than the sum of its proper divisors (7752961692).

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

3324142500 is a wasteful number, since it uses less digits than its factorization.

3324142500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63351 (or 63334 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 3324142500 is about 57655.3770259115. The cubic root of 3324142500 is about 1492.4273902764.

Adding to 3324142500 its reverse (52414233), we get a palindrome (3376556733).

The spelling of 3324142500 in words is "three billion, three hundred twenty-four million, one hundred forty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 125 140 150 175 210 250 300 350 375 420 500 525 625 700 750 875 1050 1250 1500 1750 1875 2100 2500 2625 3500 3750 4375 5250 7500 8750 10500 13125 17500 26250 52500 63317 126634 189951 253268 316585 379902 443219 633170 759804 886438 949755 1266340 1329657 1582925 1772876 1899510 2216095 2659314 3165850 3799020 4432190 4748775 5318628 6331700 6648285 7914625 8864380 9497550 11080475 13296570 15829250 18995100 22160950 23743875 26593140 31658500 33241425 39573125 44321900 47487750 55402375 66482850 79146250 94975500 110804750 118719375 132965700 158292500 166207125 221609500 237438750 277011875 332414250 474877500 554023750 664828500 831035625 1108047500 1662071250 3324142500