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400329 = 3314827
BaseRepresentation
bin1100001101111001001
3202100011000
41201233021
5100302304
612325213
73255066
oct1415711
9670130
10400329
11253856
12173809
131102a7
14a5c6d
157d939
hex61bc9

400329 has 8 divisors (see below), whose sum is σ = 593120. Its totient is φ = 266868.

The previous prime is 400321. The next prime is 400331. The reversal of 400329 is 923004.

It is not a de Polignac number, because 400329 - 23 = 400321 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 400329.

It is not an unprimeable number, because it can be changed into a prime (400321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7387 + ... + 7440.

It is an arithmetic number, because the mean of its divisors is an integer number (74140).

2400329 is an apocalyptic number.

It is an amenable number.

400329 is a deficient number, since it is larger than the sum of its proper divisors (192791).

400329 is a wasteful number, since it uses less digits than its factorization.

400329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14836 (or 14830 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 400329 is about 632.7155759107. The cubic root of 400329 is about 73.7008252097.

It can be divided in two parts, 400 and 329, that added together give a 6-th power (729 = 36).

The spelling of 400329 in words is "four hundred thousand, three hundred twenty-nine".

Divisors: 1 3 9 27 14827 44481 133443 400329