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4123329 = 37414789
BaseRepresentation
bin1111101110101011000001
321202111010220
433232223001
52023421304
6224213253
750022240
oct17565301
97674126
104123329
112366a11
12146a229
13b14a52
14794957
15566ad9
hex3eeac1

4123329 has 16 divisors (see below), whose sum is σ = 6437760. Its totient is φ = 2298240.

The previous prime is 4123321. The next prime is 4123337. The reversal of 4123329 is 9233214.

It is an interprime number because it is at equal distance from previous prime (4123321) and next prime (4123337).

It is not a de Polignac number, because 4123329 - 23 = 4123321 is a prime.

4123329 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 4123299 and 4123308.

It is not an unprimeable number, because it can be changed into a prime (4123321) 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 15 ways as a sum of consecutive naturals, for example, 1534 + ... + 3255.

It is an arithmetic number, because the mean of its divisors is an integer number (402360).

Almost surely, 24123329 is an apocalyptic number.

It is an amenable number.

4123329 is a deficient number, since it is larger than the sum of its proper divisors (2314431).

4123329 is a wasteful number, since it uses less digits than its factorization.

4123329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4840.

The product of its digits is 1296, while the sum is 24.

The square root of 4123329 is about 2030.5981877270. The cubic root of 4123329 is about 160.3550578583.

It can be divided in two parts, 412 and 3329, that added together give a triangular number (3741 = T86).

The spelling of 4123329 in words is "four million, one hundred twenty-three thousand, three hundred twenty-nine".

Divisors: 1 3 7 21 41 123 287 861 4789 14367 33523 100569 196349 589047 1374443 4123329