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1830384 = 243319223
BaseRepresentation
bin110111110110111110000
310102222211000
412332313300
5432033014
6103122000
721362253
oct6766760
93388730
101830384
111040216
12743300
134c118a
1435909a
15262509
hex1bedf0

1830384 has 80 divisors (see below), whose sum is σ = 5555200. Its totient is φ = 575424.

The previous prime is 1830379. The next prime is 1830391. The reversal of 1830384 is 4830381.

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

It is an Ulam number.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8097 + ... + 8319.

It is an arithmetic number, because the mean of its divisors is an integer number (69440).

21830384 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 1830384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2777600).

1830384 is an abundant number, since it is smaller than the sum of its proper divisors (3724816).

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

1830384 is a wasteful number, since it uses less digits than its factorization.

1830384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1830384 is about 1352.9168488861. The cubic root of 1830384 is about 122.3246749154.

The spelling of 1830384 in words is "one million, eight hundred thirty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 223 228 304 342 432 446 456 513 669 684 892 912 1026 1338 1368 1784 2007 2052 2676 2736 3568 4014 4104 4237 5352 6021 8028 8208 8474 10704 12042 12711 16056 16948 24084 25422 32112 33896 38133 48168 50844 67792 76266 96336 101688 114399 152532 203376 228798 305064 457596 610128 915192 1830384