Search a number
-
+
342315400 = 235271719757
BaseRepresentation
bin10100011001110…
…101000110001000
3212212010102110011
4110121311012020
51200113043100
653545001304
711324430040
oct2431650610
9785112404
10342315400
11166256699
1296783234
1355bc54bb
143366a720
15200bbbba
hex14675188

342315400 has 192 divisors, whose sum is σ = 1015113600. Its totient is φ = 104509440.

The previous prime is 342315377. The next prime is 342315401. The reversal of 342315400 is 4513243.

It is not an unprimeable number, because it can be changed into a prime (342315401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 451822 + ... + 452578.

It is an arithmetic number, because the mean of its divisors is an integer number (5287050).

Almost surely, 2342315400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342315400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507556800).

342315400 is an abundant number, since it is smaller than the sum of its proper divisors (672798200).

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

342315400 is a wasteful number, since it uses less digits than its factorization.

342315400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 342315400 is about 18501.7674831352. The cubic root of 342315400 is about 699.5339755277.

Adding to 342315400 its reverse (4513243), we get a palindrome (346828643).

The spelling of 342315400 in words is "three hundred forty-two million, three hundred fifteen thousand, four hundred".