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348136080 = 24356172351
BaseRepresentation
bin10100110000000…
…010001010010000
3220021002010220220
4110300002022100
51203110323310
654313433040
711425051665
oct2460021220
9807063826
10348136080
11169571876
129870b780
13571829a6
1434343a6c
152086b670
hex14c02290

348136080 has 80 divisors (see below), whose sum is σ = 1081430784. Its totient is φ = 92646400.

The previous prime is 348136079. The next prime is 348136091. The reversal of 348136080 is 80631843.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146905 + ... + 149255.

Almost surely, 2348136080 is an apocalyptic number.

348136080 is a gapful number since it is divisible by the number (30) 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 348136080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540715392).

348136080 is an abundant number, since it is smaller than the sum of its proper divisors (733294704).

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

348136080 is a wasteful number, since it uses less digits than its factorization.

348136080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2984 (or 2978 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 348136080 is about 18658.4050765332. The cubic root of 348136080 is about 703.4766362441.

The spelling of 348136080 in words is "three hundred forty-eight million, one hundred thirty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 617 1234 1851 2351 2468 3085 3702 4702 4936 6170 7053 7404 9255 9404 9872 11755 12340 14106 14808 18510 18808 23510 24680 28212 29616 35265 37020 37616 47020 49360 56424 70530 74040 94040 112848 141060 148080 188080 282120 564240 1450567 2901134 4351701 5802268 7252835 8703402 11604536 14505670 17406804 21758505 23209072 29011340 34813608 43517010 58022680 69627216 87034020 116045360 174068040 348136080