Search a number
-
+
400350 = 235217157
BaseRepresentation
bin1100001101111011110
3202100011210
41201233132
5100302400
612325250
73255126
oct1415736
9670153
10400350
11253875
12173826
131102c2
14a5c86
157d950
hex61bde

400350 has 48 divisors (see below), whose sum is σ = 1057968. Its totient is φ = 99840.

The previous prime is 400339. The next prime is 400381. The reversal of 400350 is 53004.

It is a congruent number.

It is an unprimeable number.

400350 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2472 + ... + 2628.

It is an arithmetic number, because the mean of its divisors is an integer number (22041).

2400350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528984).

400350 is an abundant number, since it is smaller than the sum of its proper divisors (657618).

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

400350 is a wasteful number, since it uses less digits than its factorization.

400350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 400350 is about 632.7321708274. The cubic root of 400350 is about 73.7021138916.

Adding to 400350 its reverse (53004), we get a palindrome (453354).

The spelling of 400350 in words is "four hundred thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 75 85 102 150 157 170 255 314 425 471 510 785 850 942 1275 1570 2355 2550 2669 3925 4710 5338 7850 8007 11775 13345 16014 23550 26690 40035 66725 80070 133450 200175 400350