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348105960 = 23325966961
BaseRepresentation
bin10100101111111…
…010110011101000
3220021000121121100
4110233322303220
51203103342320
654313041400
711424565116
oct2457726350
9807017540
10348105960
11169551184
12986b6260
1357172077
1434336ab6
1520862790
hex14bface8

348105960 has 48 divisors (see below), whose sum is σ = 1131345540. Its totient is φ = 92828160.

The previous prime is 348105931. The next prime is 348106001. The reversal of 348105960 is 69501843.

It can be written as a sum of positive squares in 2 ways, for example, as 328551876 + 19554084 = 18126^2 + 4422^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 483121 + ... + 483840.

Almost surely, 2348105960 is an apocalyptic number.

348105960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

348105960 is an abundant number, since it is smaller than the sum of its proper divisors (783239580).

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

348105960 is a wasteful number, since it uses less digits than its factorization.

348105960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966978 (or 966971 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 348105960 is about 18657.5979161306. The cubic root of 348105960 is about 703.4563478869.

The spelling of 348105960 in words is "three hundred forty-eight million, one hundred five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 966961 1933922 2900883 3867844 4834805 5801766 7735688 8702649 9669610 11603532 14504415 17405298 19339220 23207064 29008830 34810596 38678440 43513245 58017660 69621192 87026490 116035320 174052980 348105960