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938268 = 223267389
BaseRepresentation
bin11100101000100011100
31202200001200
43211010130
5220011033
632035500
710655322
oct3450434
91680050
10938268
11590a31
12392b90
1326b0b6
141a5d12
15138013
hexe511c

938268 has 36 divisors (see below), whose sum is σ = 2413320. Its totient is φ = 307296.

The previous prime is 938263. The next prime is 938279. The reversal of 938268 is 862839.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (938263) by changing a digit.

938268 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 11 ways as a sum of consecutive naturals, for example, 2218 + ... + 2606.

2938268 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 938268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206660).

938268 is an abundant number, since it is smaller than the sum of its proper divisors (1475052).

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

938268 is a wasteful number, since it uses less digits than its factorization.

938268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 461 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 938268 is about 968.6423488574. The cubic root of 938268 is about 97.8984092311.

The spelling of 938268 in words is "nine hundred thirty-eight thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 389 402 603 778 804 1167 1206 1556 2334 2412 3501 4668 7002 14004 26063 52126 78189 104252 156378 234567 312756 469134 938268