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938340 = 2232513401
BaseRepresentation
bin11100101000101100100
31202200011100
43211011210
5220011330
632040100
710655454
oct3450544
91680140
10938340
11590a97
12393030
1326b140
141a5d64
15138060
hexe5164

938340 has 72 divisors (see below), whose sum is σ = 3072888. Its totient is φ = 230400.

The previous prime is 938323. The next prime is 938341. The reversal of 938340 is 43839.

It can be written as a sum of positive squares in 4 ways, for example, as 191844 + 746496 = 438^2 + 864^2 .

It is not an unprimeable number, because it can be changed into a prime (938341) by changing a digit.

938340 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, 2140 + ... + 2540.

It is an arithmetic number, because the mean of its divisors is an integer number (42679).

2938340 is an apocalyptic number.

938340 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 938340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536444).

938340 is an abundant number, since it is smaller than the sum of its proper divisors (2134548).

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

938340 is a wasteful number, since it uses less digits than its factorization.

938340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 938340 is about 968.6795135647. The cubic root of 938340 is about 97.9009133150.

The spelling of 938340 in words is "nine hundred thirty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 401 468 585 780 802 1170 1203 1604 2005 2340 2406 3609 4010 4812 5213 6015 7218 8020 10426 12030 14436 15639 18045 20852 24060 26065 31278 36090 46917 52130 62556 72180 78195 93834 104260 156390 187668 234585 312780 469170 938340