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348296080 = 2451133271
BaseRepresentation
bin10100110000101…
…001001110010000
3220021101021101211
4110300221032100
51203130433310
654321105504
711426316316
oct2460511620
9807337354
10348296080
11169671000
1298788294
135720a772
14343860b6
152089dc8a
hex14c29390

348296080 has 80 divisors (see below), whose sum is σ = 890978688. Its totient is φ = 126614400.

The previous prime is 348296063. The next prime is 348296101. The reversal of 348296080 is 80692843.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 104845 + ... + 108115.

Almost surely, 2348296080 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 348296080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445489344).

348296080 is an abundant number, since it is smaller than the sum of its proper divisors (542682608).

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

348296080 is a wasteful number, since it uses less digits than its factorization.

348296080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3317 (or 3289 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 348296080 is about 18662.6921959293. The cubic root of 348296080 is about 703.5843901076.

The spelling of 348296080 in words is "three hundred forty-eight million, two hundred ninety-six thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1331 1936 2420 2662 3271 4840 5324 6542 6655 9680 10648 13084 13310 16355 21296 26168 26620 32710 35981 52336 53240 65420 71962 106480 130840 143924 179905 261680 287848 359810 395791 575696 719620 791582 1439240 1583164 1978955 2878480 3166328 3957910 4353701 6332656 7915820 8707402 15831640 17414804 21768505 31663280 34829608 43537010 69659216 87074020 174148040 348296080