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348680288 = 25117511319
BaseRepresentation
bin10100110010000…
…111000001100000
3220022002210102202
4110302013001200
51203230232123
654333232332
711432506415
oct2462070140
9808083382
10348680288
11169903730
12989326a8
13573135c8
143444610c
1520927a28
hex14c87060

348680288 has 48 divisors (see below), whose sum is σ = 750435840. Its totient is φ = 158160000.

The previous prime is 348680279. The next prime is 348680303. The reversal of 348680288 is 882086843.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 263693 + ... + 265011.

It is an arithmetic number, because the mean of its divisors is an integer number (15634080).

Almost surely, 2348680288 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 348680288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375217920).

348680288 is an abundant number, since it is smaller than the sum of its proper divisors (401755552).

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

348680288 is a wasteful number, since it uses less digits than its factorization.

348680288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2091 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 47.

The square root of 348680288 is about 18672.9828361727. The cubic root of 348680288 is about 703.8430047647.

The spelling of 348680288 in words is "three hundred forty-eight million, six hundred eighty thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 751 1319 1502 2638 3004 5276 6008 8261 10552 12016 14509 16522 21104 24032 29018 33044 42208 58036 66088 116072 132176 232144 264352 464288 990569 1981138 3962276 7924552 10896259 15849104 21792518 31698208 43585036 87170072 174340144 348680288