Search a number
-
+
11338704 = 243413673
BaseRepresentation
bin101011010000…
…001111010000
3210100001210000
4223100033100
510400314304
61043010000
7165243306
oct53201720
923301700
1011338704
116444a33
123969900
13246ccc0
141712276
15ede939
hexad03d0

11338704 has 100 divisors (see below), whose sum is σ = 35394436. Its totient is φ = 3483648.

The previous prime is 11338693. The next prime is 11338709. The reversal of 11338704 is 40783311.

It can be written as a sum of positive squares in 2 ways, for example, as 2624400 + 8714304 = 1620^2 + 2952^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11338709) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16512 + ... + 17184.

Almost surely, 211338704 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 11338704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17697218).

11338704 is an abundant number, since it is smaller than the sum of its proper divisors (24055732).

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

11338704 is a wasteful number, since it uses less digits than its factorization.

11338704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 11338704 is about 3367.2992145041. The cubic root of 11338704 is about 224.6576125792.

The spelling of 11338704 in words is "eleven million, three hundred thirty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 673 702 936 1053 1296 1346 1404 1872 2019 2106 2692 2808 4038 4212 5384 5616 6057 8076 8424 8749 10768 12114 16152 16848 17498 18171 24228 26247 32304 34996 36342 48456 52494 54513 69992 72684 78741 96912 104988 109026 139984 145368 157482 209976 218052 236223 290736 314964 419952 436104 472446 629928 708669 872208 944892 1259856 1417338 1889784 2834676 3779568 5669352 11338704