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438396 = 223717307
BaseRepresentation
bin1101011000001111100
3211021100220
41223001330
5103012041
613221340
73504060
oct1530174
9737326
10438396
1127a412
12191850
1312470a
14b5aa0
1589d66
hex6b07c

438396 has 48 divisors (see below), whose sum is σ = 1241856. Its totient is φ = 117504.

The previous prime is 438391. The next prime is 438401. The reversal of 438396 is 693834.

438396 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (438391) and next prime (438401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438391) by changing a digit.

438396 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, 1275 + ... + 1581.

It is an arithmetic number, because the mean of its divisors is an integer number (25872).

2438396 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 438396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620928).

438396 is an abundant number, since it is smaller than the sum of its proper divisors (803460).

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

438396 is a wasteful number, since it uses less digits than its factorization.

438396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 336 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 438396 is about 662.1147936725. The cubic root of 438396 is about 75.9665134101.

The spelling of 438396 in words is "four hundred thirty-eight thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 307 357 476 614 714 921 1228 1428 1842 2149 3684 4298 5219 6447 8596 10438 12894 15657 20876 25788 31314 36533 62628 73066 109599 146132 219198 438396