Search a number
-
+
11438364 = 22374397
BaseRepresentation
bin101011101000…
…100100011100
3210112010111010
4223220210130
510412011424
61045055220
7166140000
oct53504434
923463433
1011438364
1165028a3
1239b7510
1324a6482
14173a700
15100e229
hexae891c

11438364 has 60 divisors (see below), whose sum is σ = 31214344. Its totient is φ = 3259872.

The previous prime is 11438359. The next prime is 11438393. The reversal of 11438364 is 46383411.

Its product of digits (6912) is a multiple of the sum of its prime factors (432).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28614 + ... + 29010.

Almost surely, 211438364 is an apocalyptic number.

11438364 is a gapful number since it is divisible by the number (14) 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 11438364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15607172).

11438364 is an abundant number, since it is smaller than the sum of its proper divisors (19775980).

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

11438364 is an equidigital number, since it uses as much as digits as its factorization.

11438364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 409 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 11438364 is about 3382.0650496405. The cubic root of 11438364 is about 225.3138927554.

The spelling of 11438364 in words is "eleven million, four hundred thirty-eight thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 397 588 686 794 1029 1191 1372 1588 2058 2382 2401 2779 4116 4764 4802 5558 7203 8337 9604 11116 14406 16674 19453 28812 33348 38906 58359 77812 116718 136171 233436 272342 408513 544684 817026 953197 1634052 1906394 2859591 3812788 5719182 11438364