Search a number
-
+
3142343310 = 2351910154583
BaseRepresentation
bin1011101101001100…
…0101101010001110
322002222212120122120
42323103011222032
522413414441220
61235451153410
7140604322521
oct27323055216
98088776576
103142343310
111372853047
12738445866
133b1032352
1421b49abb8
15135d0ea40
hexbb4c5a8e

3142343310 has 64 divisors (see below), whose sum is σ = 8017297920. Its totient is φ = 785980800.

The previous prime is 3142343299. The next prime is 3142343311. The reversal of 3142343310 is 133432413.

It is a super-2 number, since 2×31423433102 = 19748642955803512200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3142343311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30279 + ... + 84861.

It is an arithmetic number, because the mean of its divisors is an integer number (125270280).

Almost surely, 23142343310 is an apocalyptic number.

3142343310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3142343310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4008648960).

3142343310 is an abundant number, since it is smaller than the sum of its proper divisors (4874954610).

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

3142343310 is a wasteful number, since it uses less digits than its factorization.

3142343310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54713.

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3142343310 is about 56056.6080850420. The cubic root of 3142343310 is about 1464.7085287960.

Adding to 3142343310 its reverse (133432413), we get a palindrome (3275775723).

The spelling of 3142343310 in words is "three billion, one hundred forty-two million, three hundred forty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 101 114 190 202 285 303 505 570 606 1010 1515 1919 3030 3838 5757 9595 11514 19190 28785 54583 57570 109166 163749 272915 327498 545830 818745 1037077 1637490 2074154 3111231 5185385 5512883 6222462 10370770 11025766 15556155 16538649 27564415 31112310 33077298 55128830 82693245 104744777 165386490 209489554 314234331 523723885 628468662 1047447770 1571171655 3142343310