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342313020 = 223357217761
BaseRepresentation
bin10100011001110…
…100100000111100
3212212010022012000
4110121310200330
51200113004040
653544542300
711324420100
oct2431644074
9785108160
10342313020
11166254925
1296781990
1355bc43aa
1433669900
15200bb130
hex1467483c

342313020 has 288 divisors, whose sum is σ = 1313444160. Its totient is φ = 73543680.

The previous prime is 342313019. The next prime is 342313033. The reversal of 342313020 is 20313243.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 342312984 and 342313002.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 449440 + ... + 450200.

It is an arithmetic number, because the mean of its divisors is an integer number (4560570).

Almost surely, 2342313020 is an apocalyptic number.

342313020 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 342313020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656722080).

342313020 is an abundant number, since it is smaller than the sum of its proper divisors (971131140).

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

342313020 is a wasteful number, since it uses less digits than its factorization.

342313020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 342313020 is about 18501.7031648440. The cubic root of 342313020 is about 699.5323543184.

Adding to 342313020 its reverse (20313243), we get a palindrome (362626263).

The spelling of 342313020 in words is "three hundred forty-two million, three hundred thirteen thousand, twenty".