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1384416 = 2532111923
BaseRepresentation
bin101010001111111100000
32121100001200
411101333200
5323300131
645401200
714524125
oct5217740
92540050
101384416
11866150
12569200
133961a7
1428074c
151c52e6
hex151fe0

1384416 has 144 divisors (see below), whose sum is σ = 4717440. Its totient is φ = 380160.

The previous prime is 1384403. The next prime is 1384433. The reversal of 1384416 is 6144831.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×13844162 = 3833215322112, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1384416.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 60181 + ... + 60203.

It is an arithmetic number, because the mean of its divisors is an integer number (32760).

21384416 is an apocalyptic number.

1384416 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 1384416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358720).

1384416 is an abundant number, since it is smaller than the sum of its proper divisors (3333024).

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

1384416 is a wasteful number, since it uses less digits than its factorization.

1384416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 58 counting only the distinct ones).

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

The square root of 1384416 is about 1176.6120856085. The cubic root of 1384416 is about 111.4522575739.

It can be divided in two parts, 138 and 4416, that added together give a palindrome (4554).

The spelling of 1384416 in words is "one million, three hundred eighty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 23 24 32 33 36 38 44 46 48 57 66 69 72 76 88 92 96 99 114 132 138 144 152 171 176 184 198 207 209 228 253 264 276 288 304 342 352 368 396 414 418 437 456 506 528 552 608 627 684 736 759 792 828 836 874 912 1012 1056 1104 1254 1311 1368 1518 1584 1656 1672 1748 1824 1881 2024 2208 2277 2508 2622 2736 3036 3168 3312 3344 3496 3762 3933 4048 4554 4807 5016 5244 5472 6072 6624 6688 6992 7524 7866 8096 9108 9614 10032 10488 12144 13984 14421 15048 15732 18216 19228 20064 20976 24288 28842 30096 31464 36432 38456 41952 43263 57684 60192 62928 72864 76912 86526 115368 125856 153824 173052 230736 346104 461472 692208 1384416