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1353834 = 23461137
BaseRepresentation
bin101001010100001101010
32112210010000
411022201222
5321310314
645003430
714336016
oct5124152
92483100
101353834
11845179
12553576
133852b1
14273546
151bb209
hex14a86a

1353834 has 40 divisors (see below), whose sum is σ = 3105828. Its totient is φ = 440640.

The previous prime is 1353827. The next prime is 1353839. The reversal of 1353834 is 4383531.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1265625 + 88209 = 1125^2 + 297^2 .

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 = 1353798 and 1353807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353839) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9814 + ... + 9950.

21353834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552914).

1353834 is an abundant number, since it is smaller than the sum of its proper divisors (1751994).

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

1353834 is a wasteful number, since it uses less digits than its factorization.

1353834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 203 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 1353834 is about 1163.5437250056. The cubic root of 1353834 is about 110.6254725633.

It can be divided in two parts, 1353 and 834, that added together give a 7-th power (2187 = 37).

The spelling of 1353834 in words is "one million, three hundred fifty-three thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 61 81 122 137 162 183 274 366 411 549 822 1098 1233 1647 2466 3294 3699 4941 7398 8357 9882 11097 16714 22194 25071 50142 75213 150426 225639 451278 676917 1353834