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342300224 = 2672926347
BaseRepresentation
bin10100011001110…
…001011001000000
3212212002122122002
4110121301121000
51200112101344
653544403132
711324334560
oct2431613100
9785078562
10342300224
11166246252
12967764a8
1355bbb616
1433664da0
15200b744e
hex14671640

342300224 has 56 divisors (see below), whose sum is σ = 803087040. Its totient is φ = 141636096.

The previous prime is 342300199. The next prime is 342300227. The reversal of 342300224 is 422003243.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 342300196 and 342300205.

It is not an unprimeable number, because it can be changed into a prime (342300227) 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 7 ways as a sum of consecutive naturals, for example, 182 + ... + 26165.

It is an arithmetic number, because the mean of its divisors is an integer number (14340840).

Almost surely, 2342300224 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 342300224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401543520).

342300224 is an abundant number, since it is smaller than the sum of its proper divisors (460786816).

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

342300224 is a wasteful number, since it uses less digits than its factorization.

342300224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26395 (or 26385 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 342300224 is about 18501.3573556104. The cubic root of 342300224 is about 699.5236378055.

Adding to 342300224 its reverse (422003243), we get a palindrome (764303467).

The spelling of 342300224 in words is "three hundred forty-two million, three hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 232 406 448 464 812 928 1624 1856 3248 6496 12992 26347 52694 105388 184429 210776 368858 421552 737716 764063 843104 1475432 1528126 1686208 2950864 3056252 5348441 5901728 6112504 10696882 11803456 12225008 21393764 24450016 42787528 48900032 85575056 171150112 342300224