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400734 = 23341181
BaseRepresentation
bin1100001110101011110
3202100201000
41201311132
5100310414
612331130
73256215
oct1416536
9670630
10400734
11254094
12173aa6
13110529
14a607c
157db09
hex61d5e

400734 has 32 divisors (see below), whose sum is σ = 917280. Its totient is φ = 129600.

The previous prime is 400723. The next prime is 400739. The reversal of 400734 is 437004.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400739) by changing a digit.

400734 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 2124 + ... + 2304.

It is an arithmetic number, because the mean of its divisors is an integer number (28665).

2400734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458640).

400734 is an abundant number, since it is smaller than the sum of its proper divisors (516546).

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

400734 is a wasteful number, since it uses less digits than its factorization.

400734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 400734 is about 633.0355440258. The cubic root of 400734 is about 73.7256704196.

Adding to 400734 its reverse (437004), we get a palindrome (837738).

The spelling of 400734 in words is "four hundred thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 181 246 362 369 543 738 1086 1107 1629 2214 3258 4887 7421 9774 14842 22263 44526 66789 133578 200367 400734