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3408704 = 261317241
BaseRepresentation
bin1101000000001101000000
320102011212022
431000031000
51333034304
6201021012
740654625
oct15001500
96364768
103408704
111a19012
121184768
139246b0
1464a34c
15474ebe
hex340340

3408704 has 56 divisors (see below), whose sum is σ = 7744968. Its totient is φ = 1474560.

The previous prime is 3408679. The next prime is 3408707. The reversal of 3408704 is 4078043.

It can be written as a sum of positive squares in 4 ways, for example, as 719104 + 2689600 = 848^2 + 1640^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3408707) 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, 14024 + ... + 14264.

It is an arithmetic number, because the mean of its divisors is an integer number (138303).

Almost surely, 23408704 is an apocalyptic number.

3408704 is a gapful number since it is divisible by the number (34) 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 3408704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3872484).

3408704 is an abundant number, since it is smaller than the sum of its proper divisors (4336264).

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

3408704 is a wasteful number, since it uses less digits than its factorization.

3408704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 3408704 is about 1846.2675862399. The cubic root of 3408704 is about 150.4976655525.

The spelling of 3408704 in words is "three million, four hundred eight thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 136 208 221 241 272 416 442 482 544 832 884 964 1088 1768 1928 3133 3536 3856 4097 6266 7072 7712 8194 12532 14144 15424 16388 25064 32776 50128 53261 65552 100256 106522 131104 200512 213044 262208 426088 852176 1704352 3408704