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342420224 = 28732251
BaseRepresentation
bin10100011010001…
…110101100000000
3212212022202020112
4110122032230000
51200124421344
653551130452
711325344456
oct2432165400
9785282215
10342420224
11166318423
1296813a28
1355c31123
14336969d6
15200dcc9e
hex1468eb00

342420224 has 54 divisors (see below), whose sum is σ = 695755116. Its totient is φ = 168192000.

The previous prime is 342420209. The next prime is 342420229. The reversal of 342420224 is 422024243.

It is a self number, because there is not a number n which added to its sum of digits gives 342420224.

It is not an unprimeable number, because it can be changed into a prime (342420229) 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 5 ways as a sum of consecutive naturals, for example, 1364099 + ... + 1364349.

It is an arithmetic number, because the mean of its divisors is an integer number (12884354).

Almost surely, 2342420224 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 342420224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347877558).

342420224 is an abundant number, since it is smaller than the sum of its proper divisors (353334892).

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

342420224 is an frugal number, since it uses more digits than its factorization.

342420224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 342420224 is about 18504.6000767377. The cubic root of 342420224 is about 699.6053721265.

Adding to 342420224 its reverse (422024243), we get a palindrome (764444467).

The spelling of 342420224 in words is "three hundred forty-two million, four hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 73 128 146 251 256 292 502 584 1004 1168 2008 2336 4016 4672 5329 8032 9344 10658 16064 18323 18688 21316 32128 36646 42632 64256 73292 85264 146584 170528 293168 341056 586336 682112 1172672 1337579 1364224 2345344 2675158 4690688 5350316 10700632 21401264 42802528 85605056 171210112 342420224