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2406834 = 23483179
BaseRepresentation
bin1001001011100110110010
311112021120000
421023212302
51104004314
6123330430
726313003
oct11134662
94467500
102406834
1113a4321
12980a16
13663681
144691aa
15328209
hex24b9b2

2406834 has 40 divisors (see below), whose sum is σ = 5488560. Its totient is φ = 788184.

The previous prime is 2406821. The next prime is 2406847. The reversal of 2406834 is 4386042.

2406834 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2406821) and next prime (2406847).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2406798 and 2406807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13357 + ... + 13535.

It is an arithmetic number, because the mean of its divisors is an integer number (137214).

22406834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2406834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2744280).

2406834 is an abundant number, since it is smaller than the sum of its proper divisors (3081726).

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

2406834 is a wasteful number, since it uses less digits than its factorization.

2406834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2406834 is about 1551.3974345731. The cubic root of 2406834 is about 134.0135502745.

It can be divided in two parts, 2406 and 834, that added together give a triangular number (3240 = T80).

The spelling of 2406834 in words is "two million, four hundred six thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 83 162 166 179 249 358 498 537 747 1074 1494 1611 2241 3222 4482 4833 6723 9666 13446 14499 14857 28998 29714 44571 89142 133713 267426 401139 802278 1203417 2406834