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3406392 = 23321121723
BaseRepresentation
bin1100111111101000111000
320102001200200
430333220320
51333001032
6201002200
740645113
oct14775070
96361620
103406392
111a17300
121183360
13923622
1464957a
1547447c
hex33fa38

3406392 has 144 divisors (see below), whose sum is σ = 11203920. Its totient is φ = 929280.

The previous prime is 3406391. The next prime is 3406421. The reversal of 3406392 is 2936043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3406391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 148093 + ... + 148115.

It is an arithmetic number, because the mean of its divisors is an integer number (77805).

Almost surely, 23406392 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 3406392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5601960).

3406392 is an abundant number, since it is smaller than the sum of its proper divisors (7797528).

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

3406392 is a wasteful number, since it uses less digits than its factorization.

3406392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3406392 is about 1845.6413519425. The cubic root of 3406392 is about 150.4636321584.

The spelling of 3406392 in words is "three million, four hundred six thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 23 24 33 34 36 44 46 51 66 68 69 72 88 92 99 102 121 132 136 138 153 184 187 198 204 207 242 253 264 276 306 363 374 391 396 408 414 484 506 552 561 612 726 748 759 782 792 828 968 1012 1089 1122 1173 1224 1452 1496 1518 1564 1656 1683 2024 2057 2178 2244 2277 2346 2783 2904 3036 3128 3366 3519 4114 4301 4356 4488 4554 4692 5566 6072 6171 6732 7038 8228 8349 8602 8712 9108 9384 11132 12342 12903 13464 14076 16456 16698 17204 18216 18513 22264 24684 25047 25806 28152 33396 34408 37026 38709 47311 49368 50094 51612 66792 74052 77418 94622 100188 103224 141933 148104 154836 189244 200376 283866 309672 378488 425799 567732 851598 1135464 1703196 3406392