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339696672 = 2537505501
BaseRepresentation
bin10100001111110…
…101110000100000
3212200012101020020
4110033311300200
51143430243142
653412513440
711263242210
oct2417656040
9780171206
10339696672
11164828157
129591b880
13554b9563
1433188240
151ec50cec
hex143f5c20

339696672 has 48 divisors (see below), whose sum is σ = 1019092032. Its totient is φ = 97056000.

The previous prime is 339696671. The next prime is 339696719. The reversal of 339696672 is 276696933.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (339696671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252079 + ... + 253422.

It is an arithmetic number, because the mean of its divisors is an integer number (21231084).

Almost surely, 2339696672 is an apocalyptic number.

339696672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

339696672 is an abundant number, since it is smaller than the sum of its proper divisors (679395360).

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

339696672 is a wasteful number, since it uses less digits than its factorization.

339696672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505521 (or 505513 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 51.

The square root of 339696672 is about 18430.8619440329. The cubic root of 339696672 is about 697.7455853390.

The spelling of 339696672 in words is "three hundred thirty-nine million, six hundred ninety-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 505501 1011002 1516503 2022004 3033006 3538507 4044008 6066012 7077014 8088016 10615521 12132024 14154028 16176032 21231042 24264048 28308056 42462084 48528096 56616112 84924168 113232224 169848336 339696672