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1830345 = 351111093
BaseRepresentation
bin110111110110111001001
310102222202120
412332313021
5432032340
6103121453
721362166
oct6766711
93388676
101830345
111040190
12743289
134c115a
1435906d
152624d0
hex1bedc9

1830345 has 16 divisors (see below), whose sum is σ = 3195072. Its totient is φ = 887360.

The previous prime is 1830343. The next prime is 1830347. The reversal of 1830345 is 5430381.

1830345 = T230 + T231 + ... + T284.

It is an interprime number because it is at equal distance from previous prime (1830343) and next prime (1830347).

It is not a de Polignac number, because 1830345 - 21 = 1830343 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (1830341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5382 + ... + 5711.

It is an arithmetic number, because the mean of its divisors is an integer number (199692).

21830345 is an apocalyptic number.

1830345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1830345 is a deficient number, since it is larger than the sum of its proper divisors (1364727).

1830345 is a wasteful number, since it uses less digits than its factorization.

1830345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11112.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1830345 is about 1352.9024355067. The cubic root of 1830345 is about 122.3238061185.

The spelling of 1830345 in words is "one million, eight hundred thirty thousand, three hundred forty-five".

Divisors: 1 3 5 11 15 33 55 165 11093 33279 55465 122023 166395 366069 610115 1830345