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3499104 = 253741127
BaseRepresentation
bin1101010110010001100000
320120202212110
431112101200
51343432404
6202555320
741512320
oct15262140
96522773
103499104
111a7aa24
121208b40
1395689b
14671280
15491b89
hex356460

3499104 has 96 divisors (see below), whose sum is σ = 10838016. Its totient is φ = 967680.

The previous prime is 3499099. The next prime is 3499129. The reversal of 3499104 is 4019943.

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

It is a congruent number.

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, 27489 + ... + 27615.

It is an arithmetic number, because the mean of its divisors is an integer number (112896).

Almost surely, 23499104 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 3499104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5419008).

3499104 is an abundant number, since it is smaller than the sum of its proper divisors (7338912).

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

3499104 is a wasteful number, since it uses less digits than its factorization.

3499104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 3499104 is about 1870.5892119864. The cubic root of 3499104 is about 151.8164913751.

It can be divided in two parts, 349 and 9104, that added together give a triangular number (9453 = T137).

The spelling of 3499104 in words is "three million, four hundred ninety-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 82 84 96 112 123 127 164 168 224 246 254 287 328 336 381 492 508 574 656 672 762 861 889 984 1016 1148 1312 1524 1722 1778 1968 2032 2296 2667 3048 3444 3556 3936 4064 4592 5207 5334 6096 6888 7112 9184 10414 10668 12192 13776 14224 15621 20828 21336 27552 28448 31242 36449 41656 42672 62484 72898 83312 85344 109347 124968 145796 166624 218694 249936 291592 437388 499872 583184 874776 1166368 1749552 3499104