Search a number
-
+
3811104 = 253311401
BaseRepresentation
bin1110100010011100100000
321011121212000
432202130200
51433423404
6213404000
744252043
oct16423440
97147760
103811104
112173380
121339600
13a358bb
14712c5a
15504339
hex3a2720

3811104 has 96 divisors (see below), whose sum is σ = 12156480. Its totient is φ = 1152000.

The previous prime is 3811099. The next prime is 3811117. The reversal of 3811104 is 4011183.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9304 + ... + 9704.

It is an arithmetic number, because the mean of its divisors is an integer number (126630).

Almost surely, 23811104 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 3811104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6078240).

3811104 is an abundant number, since it is smaller than the sum of its proper divisors (8345376).

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

3811104 is a wasteful number, since it uses less digits than its factorization.

3811104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 3811104 is about 1952.2049072779. The cubic root of 3811104 is about 156.2009245345.

Adding to 3811104 its reverse (4011183), we get a palindrome (7822287).

It can be divided in two parts, 381 and 1104, that added together give a triangular number (1485 = T54).

The spelling of 3811104 in words is "three million, eight hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 401 432 528 594 792 802 864 1056 1188 1203 1584 1604 2376 2406 3168 3208 3609 4411 4752 4812 6416 7218 8822 9504 9624 10827 12832 13233 14436 17644 19248 21654 26466 28872 35288 38496 39699 43308 52932 57744 70576 79398 86616 105864 115488 119097 141152 158796 173232 211728 238194 317592 346464 423456 476388 635184 952776 1270368 1905552 3811104