Search a number
-
+
342260100 = 2233527213199
BaseRepresentation
bin10100011001100…
…111100110000100
3212212000121121000
4110121213212010
51200104310400
653543453300
711324106600
oct2431474604
9785017530
10342260100
11166219096
1296757230
1355ba6290
1433654500
15200aa600
hex14667984

342260100 has 432 divisors, whose sum is σ = 1385328000. Its totient is φ = 71850240.

The previous prime is 342260089. The next prime is 342260123. The reversal of 342260100 is 1062243.

It is a happy number.

342260100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 1719801 + ... + 1719999.

Almost surely, 2342260100 is an apocalyptic number.

342260100 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 342260100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692664000).

342260100 is an abundant number, since it is smaller than the sum of its proper divisors (1043067900).

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

342260100 is a wasteful number, since it uses less digits than its factorization.

342260100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 342260100 is about 18500.2729709591. The cubic root of 342260100 is about 699.4963043117.

The spelling of 342260100 in words is "three hundred forty-two million, two hundred sixty thousand, one hundred".