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342018720 = 25335411931
BaseRepresentation
bin10100011000101…
…100101010100000
3212211120100111000
4110120230222200
51200024044340
653534352000
711322053061
oct2430545240
9784510430
10342018720
111660737aa
129665b600
1355b20454
14335d0568
152005dd30
hex1462caa0

342018720 has 192 divisors, whose sum is σ = 1226897280. Its totient is φ = 88934400.

The previous prime is 342018709. The next prime is 342018727. The reversal of 342018720 is 27810243.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (342018727) 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 31 ways as a sum of consecutive naturals, for example, 176155 + ... + 178085.

It is an arithmetic number, because the mean of its divisors is an integer number (6390090).

Almost surely, 2342018720 is an apocalyptic number.

342018720 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 342018720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613448640).

342018720 is an abundant number, since it is smaller than the sum of its proper divisors (884878560).

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

342018720 is a wasteful number, since it uses less digits than its factorization.

342018720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 342018720 is about 18493.7481328150. The cubic root of 342018720 is about 699.3318249910.

Adding to 342018720 its reverse (27810243), we get a palindrome (369828963).

The spelling of 342018720 in words is "three hundred forty-two million, eighteen thousand, seven hundred twenty".