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1084416 = 2103353
BaseRepresentation
bin100001000110000000000
32001002112120
410020300000
5234200131
635124240
712134364
oct4106000
92032476
101084416
11680813
12443680
132bc788
142032a4
15166496
hex108c00

1084416 has 44 divisors (see below), whose sum is σ = 2898552. Its totient is φ = 360448.

The previous prime is 1084403. The next prime is 1084423. The reversal of 1084416 is 6144801.

It is a super-2 number, since 2×10844162 = 2351916122112, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2896 + ... + 3248.

21084416 is an apocalyptic number.

1084416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1084416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449276).

1084416 is an abundant number, since it is smaller than the sum of its proper divisors (1814136).

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

1084416 is an equidigital number, since it uses as much as digits as its factorization.

1084416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 358 counting only the distinct ones).

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

The square root of 1084416 is about 1041.3529660975. The cubic root of 1084416 is about 102.7382046713.

The spelling of 1084416 in words is "one million, eighty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 353 384 512 706 768 1024 1059 1412 1536 2118 2824 3072 4236 5648 8472 11296 16944 22592 33888 45184 67776 90368 135552 180736 271104 361472 542208 1084416