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348422200 = 235271911303
BaseRepresentation
bin10100110001001…
…000000000111000
3220021121200101221
4110301020000320
51203144002300
654323521424
711430353110
oct2461100070
9807550357
10348422200
11169747835
1298829274
1357252ca9
14343ba040
15208c631a
hex14c48038

348422200 has 96 divisors (see below), whose sum is σ = 931368960. Its totient is φ = 118742400.

The previous prime is 348422197. The next prime is 348422201. The reversal of 348422200 is 2224843.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348422201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266749 + ... + 268051.

It is an arithmetic number, because the mean of its divisors is an integer number (9701760).

Almost surely, 2348422200 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 348422200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465684480).

348422200 is an abundant number, since it is smaller than the sum of its proper divisors (582946760).

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

348422200 is a wasteful number, since it uses less digits than its factorization.

348422200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 348422200 is about 18666.0708238236. The cubic root of 348422200 is about 703.6693038347.

The spelling of 348422200 in words is "three hundred forty-eight million, four hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 191 200 280 350 382 700 764 955 1303 1337 1400 1528 1910 2606 2674 3820 4775 5212 5348 6515 6685 7640 9121 9550 10424 10696 13030 13370 18242 19100 26060 26740 32575 33425 36484 38200 45605 52120 53480 65150 66850 72968 91210 130300 133700 182420 228025 248873 260600 267400 364840 456050 497746 912100 995492 1244365 1742111 1824200 1990984 2488730 3484222 4977460 6221825 6968444 8710555 9954920 12443650 13936888 17421110 24887300 34842220 43552775 49774600 69684440 87105550 174211100 348422200