Search a number
-
+
342210414 = 23731312791
BaseRepresentation
bin10100011001011…
…011011101101110
3212211221002102210
4110121123131232
51200101213124
653542431250
711323512000
oct2431333556
9784832383
10342210414
11166194827
1296732526
1355b89790
1433640370
152009aa29
hex1465b76e

342210414 has 64 divisors (see below), whose sum is σ = 859622400. Its totient is φ = 90246240.

The previous prime is 342210413. The next prime is 342210437. The reversal of 342210414 is 414012243.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342210413) 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, 20359 + ... + 33149.

It is an arithmetic number, because the mean of its divisors is an integer number (13431600).

Almost surely, 2342210414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342210414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429811200).

342210414 is an abundant number, since it is smaller than the sum of its proper divisors (517411986).

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

342210414 is a wasteful number, since it uses less digits than its factorization.

342210414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12830 (or 12816 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 342210414 is about 18498.9300771693. The cubic root of 342210414 is about 699.4624539784.

Adding to 342210414 its reverse (414012243), we get a palindrome (756222657).

The spelling of 342210414 in words is "three hundred forty-two million, two hundred ten thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 343 546 637 686 1029 1274 1911 2058 3822 4459 8918 12791 13377 25582 26754 38373 76746 89537 166283 179074 268611 332566 498849 537222 626759 997698 1163981 1253518 1880277 2327962 3491943 3760554 4387313 6983886 8147867 8774626 13161939 16295734 24443601 26323878 48887202 57035069 114070138 171105207 342210414