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400311 = 32192341
BaseRepresentation
bin1100001101110110111
3202100010100
41201232313
5100302221
612325143
73255042
oct1415667
9670110
10400311
1125383a
121737b3
13110292
14a5c59
157d926
hex61bb7

400311 has 12 divisors (see below), whose sum is σ = 608920. Its totient is φ = 252720.

The previous prime is 400307. The next prime is 400313. The reversal of 400311 is 113004.

It is not a de Polignac number, because 400311 - 22 = 400307 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

400311 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 400293 and 400302.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 400311.

It is not an unprimeable number, because it can be changed into a prime (400313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1000 + ... + 1341.

2400311 is an apocalyptic number.

400311 is a deficient number, since it is larger than the sum of its proper divisors (208609).

400311 is a wasteful number, since it uses less digits than its factorization.

400311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2366 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 400311 is about 632.7013513499. The cubic root of 400311 is about 73.6997205893.

Adding to 400311 its reverse (113004), we get a palindrome (513315).

The spelling of 400311 in words is "four hundred thousand, three hundred eleven", and thus it is an iban number.

Divisors: 1 3 9 19 57 171 2341 7023 21069 44479 133437 400311