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348100380 = 223251933891
BaseRepresentation
bin10100101111111…
…001011100011100
3220021000022221200
4110233321130130
51203103203010
654312555500
711424542625
oct2457713434
9807008850
10348100380
11169547a71
12986b2b90
135716c674
1434334a4c
1520860cc0
hex14bf971c

348100380 has 36 divisors (see below), whose sum is σ = 1055905032. Its totient is φ = 92826720.

The previous prime is 348100367. The next prime is 348100409. The reversal of 348100380 is 83001843.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3481003802 = 242347749112288800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 966766 + ... + 967125.

Almost surely, 2348100380 is an apocalyptic number.

348100380 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

348100380 is an abundant number, since it is smaller than the sum of its proper divisors (707804652).

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

348100380 is a wasteful number, since it uses less digits than its factorization.

348100380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933906 (or 1933901 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 348100380 is about 18657.4483785967. The cubic root of 348100380 is about 703.4525891584.

The spelling of 348100380 in words is "three hundred forty-eight million, one hundred thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1933891 3867782 5801673 7735564 9669455 11603346 17405019 19338910 23206692 29008365 34810038 38677820 58016730 69620076 87025095 116033460 174050190 348100380