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400316 = 22717292
BaseRepresentation
bin1100001101110111100
3202100010112
41201232330
5100302231
612325152
73255050
oct1415674
9670115
10400316
11253844
121737b8
13110297
14a5c60
157d92b
hex61bbc

400316 has 36 divisors (see below), whose sum is σ = 877968. Its totient is φ = 155904.

The previous prime is 400313. The next prime is 400321. The reversal of 400316 is 613004.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a self number, because there is not a number n which added to its sum of digits gives 400316.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13790 + ... + 13818.

It is an arithmetic number, because the mean of its divisors is an integer number (24388).

2400316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438984).

400316 is an abundant number, since it is smaller than the sum of its proper divisors (477652).

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

400316 is a wasteful number, since it uses less digits than its factorization.

400316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 400316 is about 632.7053026489. The cubic root of 400316 is about 73.7000274316.

The spelling of 400316 in words is "four hundred thousand, three hundred sixteen".

Divisors: 1 2 4 7 14 17 28 29 34 58 68 116 119 203 238 406 476 493 812 841 986 1682 1972 3364 3451 5887 6902 11774 13804 14297 23548 28594 57188 100079 200158 400316