Search a number
-
+
403074 = 23272457
BaseRepresentation
bin1100010011010000010
3202110220200
41202122002
5100344244
612350030
73266100
oct1423202
9673820
10403074
11255921
12175316
13111609
14a6c70
157e669
hex62682

403074 has 36 divisors (see below), whose sum is σ = 1018134. Its totient is φ = 114912.

The previous prime is 403063. The next prime is 403079. The reversal of 403074 is 470304.

It can be written as a sum of positive squares in only one way, i.e., 275625 + 127449 = 525^2 + 357^2 .

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 403074.

It is not an unprimeable number, because it can be changed into a prime (403079) by changing a digit.

403074 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 (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 654 + ... + 1110.

2403074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 403074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509067).

403074 is an abundant number, since it is smaller than the sum of its proper divisors (615060).

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

403074 is a wasteful number, since it uses less digits than its factorization.

403074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 469 counting only the distinct ones).

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

The square root of 403074 is about 634.8810912289. The cubic root of 403074 is about 73.8688937380.

Adding to 403074 its reverse (470304), we get a palindrome (873378).

The spelling of 403074 in words is "four hundred three thousand, seventy-four", and thus it is an iban number.

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 457 882 914 1371 2742 3199 4113 6398 8226 9597 19194 22393 28791 44786 57582 67179 134358 201537 403074