Search a number
-
+
342010032 = 243713219317
BaseRepresentation
bin10100011000101…
…010100010110000
3212211112220120020
4110120222202300
51200023310112
653534243440
711322015540
oct2430524260
9784486506
10342010032
11166068221
1296656580
1355b19500
14335cb320
152005b48c
hex1462a8b0

342010032 has 240 divisors, whose sum is σ = 1154568960. Its totient is φ = 85183488.

The previous prime is 342009989. The next prime is 342010033. The reversal of 342010032 is 230010243.

It is a junction number, because it is equal to n+sod(n) for n = 342009993 and 342010020.

It is not an unprimeable number, because it can be changed into a prime (342010033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1078738 + ... + 1079054.

It is an arithmetic number, because the mean of its divisors is an integer number (4810704).

Almost surely, 2342010032 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 342010032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577284480).

342010032 is an abundant number, since it is smaller than the sum of its proper divisors (812558928).

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

342010032 is a wasteful number, since it uses less digits than its factorization.

342010032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 342010032 is about 18493.5132411340. The cubic root of 342010032 is about 699.3259034376.

Adding to 342010032 its reverse (230010243), we get a palindrome (572020275).

The spelling of 342010032 in words is "three hundred forty-two million, ten thousand, thirty-two".