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400340 = 22537541
BaseRepresentation
bin1100001101111010100
3202100011102
41201233110
5100302330
612325232
73255113
oct1415724
9670142
10400340
11253866
12173818
131102b5
14a5c7a
157d945
hex61bd4

400340 has 24 divisors (see below), whose sum is σ = 865032. Its totient is φ = 155520.

The previous prime is 400339. The next prime is 400381. The reversal of 400340 is 43004.

It can be written as a sum of positive squares in 4 ways, for example, as 91204 + 309136 = 302^2 + 556^2 .

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 470 + ... + 1010.

It is an arithmetic number, because the mean of its divisors is an integer number (36043).

2400340 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 400340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432516).

400340 is an abundant number, since it is smaller than the sum of its proper divisors (464692).

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

400340 is a wasteful number, since it uses less digits than its factorization.

400340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 400340 is about 632.7242685404. The cubic root of 400340 is about 73.7015002392.

Adding to 400340 its reverse (43004), we get a palindrome (443344).

The spelling of 400340 in words is "four hundred thousand, three hundred forty", and thus it is an iban number.

Divisors: 1 2 4 5 10 20 37 74 148 185 370 541 740 1082 2164 2705 5410 10820 20017 40034 80068 100085 200170 400340