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342020200 = 235229109541
BaseRepresentation
bin10100011000101…
…101000001101000
3212211120102111211
4110120231001220
51200024121300
653534402504
711322060304
oct2430550150
9784512454
10342020200
11166074925
1296660434
1355b21022
14335d0d04
152005e4ba
hex1462d068

342020200 has 96 divisors (see below), whose sum is σ = 831699000. Its totient is φ = 130636800.

The previous prime is 342020177. The next prime is 342020207. The reversal of 342020200 is 2020243.

It can be written as a sum of positive squares in 12 ways, for example, as 32330596 + 309689604 = 5686^2 + 17598^2 .

It is not an unprimeable number, because it can be changed into a prime (342020207) 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 23 ways as a sum of consecutive naturals, for example, 631930 + ... + 632470.

Almost surely, 2342020200 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 342020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415849500).

342020200 is an abundant number, since it is smaller than the sum of its proper divisors (489678800).

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

342020200 is a wasteful number, since it uses less digits than its factorization.

342020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 342020200 is about 18493.7881462939. The cubic root of 342020200 is about 699.3328337171.

Adding to 342020200 its reverse (2020243), we get a palindrome (344040443).

The spelling of 342020200 in words is "three hundred forty-two million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 109 116 145 200 218 232 290 436 541 545 580 725 872 1082 1090 1160 1450 2164 2180 2705 2725 2900 3161 4328 4360 5410 5450 5800 6322 10820 10900 12644 13525 15689 15805 21640 21800 25288 27050 31378 31610 54100 58969 62756 63220 78445 79025 108200 117938 125512 126440 156890 158050 235876 294845 313780 316100 392225 471752 589690 627560 632200 784450 1179380 1474225 1568900 1710101 2358760 2948450 3137800 3420202 5896900 6840404 8550505 11793800 13680808 17101010 34202020 42752525 68404040 85505050 171010100 342020200