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342278832200 = 235241210092
BaseRepresentation
bin1001111101100010110…
…10001000000001001000
31012201111000000020100012
410332301122020001020
521101441340112300
6421123555131052
733504663032654
oct4766132100110
91181430006305
10342278832200
11122183528738
12564045a3a88
132637a054496
14127d022ba64
158d84285435
hex4fb1688048

342278832200 has 108 divisors (see below), whose sum is σ = 816490613745. Its totient is φ = 133439846400.

The previous prime is 342278832187. The next prime is 342278832223. The reversal of 342278832200 is 2238872243.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 211421557636 + 130857274564 = 459806^2 + 361742^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=413690.

It is a super-3 number, since 3×3422788322003 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 339225296 + ... + 339226304.

Almost surely, 2342278832200 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 342278832200

342278832200 is an abundant number, since it is smaller than the sum of its proper divisors (474211781545).

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

342278832200 is an equidigital number, since it uses as much as digits as its factorization.

342278832200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 41.

The spelling of 342278832200 in words is "three hundred forty-two billion, two hundred seventy-eight million, eight hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1009 1025 1640 1681 2018 2050 3362 4036 4100 5045 6724 8072 8200 8405 10090 13448 16810 20180 25225 33620 40360 41369 42025 50450 67240 82738 84050 100900 165476 168100 201800 206845 330952 336200 413690 827380 1018081 1034225 1654760 1696129 2036162 2068450 3392258 4072324 4136900 5090405 6784516 8144648 8273800 8480645 10180810 13569032 16961290 20361620 25452025 33922580 40723240 41741321 42403225 50904050 67845160 83482642 84806450 101808100 166965284 169612900 203616200 208706605 333930568 339225800 417413210 834826420 1043533025 1669652840 1711394161 2087066050 3422788322 4174132100 6845576644 8348264200 8556970805 13691153288 17113941610 34227883220 42784854025 68455766440 85569708050 171139416100 342278832200