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438426 = 23323353
BaseRepresentation
bin1101011000010011010
3211021102000
41223002122
5103012201
613221430
73504132
oct1530232
9737360
10438426
1127a43a
12191876
13124731
14b5ac2
1589d86
hex6b09a

438426 has 32 divisors (see below), whose sum is σ = 1019520. Its totient is φ = 139392.

The previous prime is 438419. The next prime is 438439. The reversal of 438426 is 624834.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 438426.

It is an unprimeable number.

438426 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 15 ways as a sum of consecutive naturals, for example, 1066 + ... + 1418.

It is an arithmetic number, because the mean of its divisors is an integer number (31860).

438426 is a Friedman number, since it can be written as (42^3+6^8)/4, using all its digits and the basic arithmetic operations.

2438426 is an apocalyptic number.

438426 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 438426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509760).

438426 is an abundant number, since it is smaller than the sum of its proper divisors (581094).

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

438426 is a wasteful number, since it uses less digits than its factorization.

438426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 381 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 438426 is about 662.1374479668. The cubic root of 438426 is about 75.9682461991.

The spelling of 438426 in words is "four hundred thirty-eight thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 353 414 621 706 1059 1242 2118 3177 6354 8119 9531 16238 19062 24357 48714 73071 146142 219213 438426