Search a number
-
+
342044080 = 245717193161
BaseRepresentation
bin10100011000110…
…010110110110000
3212211121122021021
4110120302312300
51200030402310
653535105224
711322220030
oct2430626660
9784548237
10342044080
11166090864
1296672214
1355b2bb61
14335d98c0
15200665da
hex14632db0

342044080 has 320 divisors, whose sum is σ = 1062789120. Its totient is φ = 99532800.

The previous prime is 342044077. The next prime is 342044113. The reversal of 342044080 is 80440243.

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 63 ways as a sum of consecutive naturals, for example, 5607250 + ... + 5607310.

It is an arithmetic number, because the mean of its divisors is an integer number (3321216).

Almost surely, 2342044080 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 342044080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531394560).

342044080 is an abundant number, since it is smaller than the sum of its proper divisors (720745040).

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

342044080 is a wasteful number, since it uses less digits than its factorization.

342044080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 342044080 is about 18494.4337572146. The cubic root of 342044080 is about 699.3491092465.

The spelling of 342044080 in words is "three hundred forty-two million, forty-four thousand, eighty".