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342400300 = 225211973209
BaseRepresentation
bin10100011010001…
…001110100101100
3212212021201220121
4110122021310230
51200123302200
653550454324
711325232414
oct2432116454
9785251817
10342400300
11166304460
12968043a4
1355c25038
143368d644
15200d6e1a
hex14689d2c

342400300 has 72 divisors (see below), whose sum is σ = 819166320. Its totient is φ = 123187200.

The previous prime is 342400291. The next prime is 342400313. The reversal of 342400300 is 3004243.

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 23 ways as a sum of consecutive naturals, for example, 105096 + ... + 108304.

It is an arithmetic number, because the mean of its divisors is an integer number (11377310).

Almost surely, 2342400300 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 342400300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409583160).

342400300 is an abundant number, since it is smaller than the sum of its proper divisors (476766020).

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

342400300 is a wasteful number, since it uses less digits than its factorization.

342400300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3331 (or 3324 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 342400300 is about 18504.0617162827. The cubic root of 342400300 is about 699.5918028270.

Adding to 342400300 its reverse (3004243), we get a palindrome (345404543).

The spelling of 342400300 in words is "three hundred forty-two million, four hundred thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 97 100 110 194 220 275 388 485 550 970 1067 1100 1940 2134 2425 3209 4268 4850 5335 6418 9700 10670 12836 16045 21340 26675 32090 35299 53350 64180 70598 80225 106700 141196 160450 176495 311273 320900 352990 622546 705980 882475 1245092 1556365 1764950 3112730 3424003 3529900 6225460 6848006 7781825 13696012 15563650 17120015 31127300 34240030 68480060 85600075 171200150 342400300