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348430208 = 2771997211
BaseRepresentation
bin10100110001001…
…001111110000000
3220021122002101112
4110301021332000
51203144231313
654324022452
711430415340
oct2461117600
9807562345
10348430208
11169752855
1298831a28
1357256829
14343bcd20
15208c88a8
hex14c49f80

348430208 has 128 divisors (see below), whose sum is σ = 847660800. Its totient is φ = 139345920.

The previous prime is 348430207. The next prime is 348430219. The reversal of 348430208 is 802034843.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348430207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1651223 + ... + 1651433.

It is an arithmetic number, because the mean of its divisors is an integer number (6622350).

Almost surely, 2348430208 is an apocalyptic number.

348430208 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348430208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423830400).

348430208 is an abundant number, since it is smaller than the sum of its proper divisors (499230592).

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

348430208 is a wasteful number, since it uses less digits than its factorization.

348430208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 348430208 is about 18666.2853294382. The cubic root of 348430208 is about 703.6746947470.

The spelling of 348430208 in words is "three hundred forty-eight million, four hundred thirty thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 97 112 128 133 152 194 211 224 266 304 388 422 448 532 608 679 776 844 896 1064 1216 1358 1477 1552 1688 1843 2128 2432 2716 2954 3104 3376 3686 4009 4256 5432 5908 6208 6752 7372 8018 8512 10864 11816 12416 12901 13504 14744 16036 17024 20467 21728 23632 25802 27008 28063 29488 32072 40934 43456 47264 51604 56126 58976 64144 81868 86912 94528 103208 112252 117952 128288 143269 163736 189056 206416 224504 235904 256576 286538 327472 388873 412832 449008 513152 573076 654944 777746 825664 898016 1146152 1309888 1555492 1651328 1796032 2292304 2619776 2722111 3110984 3592064 4584608 5444222 6221968 9169216 10888444 12443936 18338432 21776888 24887872 43553776 49775744 87107552 174215104 348430208