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3405104 = 241923487
BaseRepresentation
bin1100111111010100110000
320101222220222
430333110300
51332430404
6200552212
740641263
oct14772460
96358828
103405104
111a1633a
121182668
13922b71
14648cda
15473dbe
hex33f530

3405104 has 40 divisors (see below), whose sum is σ = 7261440. Its totient is φ = 1539648.

The previous prime is 3405079. The next prime is 3405109. The reversal of 3405104 is 4015043.

It is not an unprimeable number, because it can be changed into a prime (3405109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6749 + ... + 7235.

It is an arithmetic number, because the mean of its divisors is an integer number (181536).

Almost surely, 23405104 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 3405104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3630720).

3405104 is an abundant number, since it is smaller than the sum of its proper divisors (3856336).

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

3405104 is a wasteful number, since it uses less digits than its factorization.

3405104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 3405104 is about 1845.2923887558. The cubic root of 3405104 is about 150.4446656987. Note that the first 3 decimals are identical.

The spelling of 3405104 in words is "three million, four hundred five thousand, one hundred four".

Divisors: 1 2 4 8 16 19 23 38 46 76 92 152 184 304 368 437 487 874 974 1748 1948 3496 3896 6992 7792 9253 11201 18506 22402 37012 44804 74024 89608 148048 179216 212819 425638 851276 1702552 3405104