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1830408 = 233531439
BaseRepresentation
bin110111110111000001000
310102222211220
412332320020
5432033113
6103122040
721362316
oct6767010
93388756
101830408
111040238
12743320
134c11a8
143590b6
15262523
hex1bee08

1830408 has 32 divisors (see below), whose sum is σ = 4665600. Its totient is φ = 598208.

The previous prime is 1830401. The next prime is 1830419. The reversal of 1830408 is 8040381.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (1830401) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 553 + ... + 1991.

It is an arithmetic number, because the mean of its divisors is an integer number (145800).

21830408 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 1830408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332800).

1830408 is an abundant number, since it is smaller than the sum of its proper divisors (2835192).

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

1830408 is a wasteful number, since it uses less digits than its factorization.

1830408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1830408 is about 1352.9257185818. The cubic root of 1830408 is about 122.3252095536.

1830408 divided by its sum of digits (24) gives a palindrome (76267).

Adding to 1830408 its reverse (8040381), we get a palindrome (9870789).

The spelling of 1830408 in words is "one million, eight hundred thirty thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 1272 1439 2878 4317 5756 8634 11512 17268 34536 76267 152534 228801 305068 457602 610136 915204 1830408