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1442832384 = 213378387
BaseRepresentation
bin101010111111111…
…1110000000000000
310201112221110221110
41111333332000000
510423331114014
6355100523320
750516605260
oct12577760000
93645843843
101442832384
11680494364
12343250540
1319cbc7596
14d98a17a0
1586a05d59
hex55ffe000

1442832384 has 112 divisors (see below), whose sum is σ = 4397459328. Its totient is φ = 412188672.

The previous prime is 1442832373. The next prime is 1442832397. The reversal of 1442832384 is 4832382441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167839 + ... + 176225.

Almost surely, 21442832384 is an apocalyptic number.

1442832384 is a gapful number since it is divisible by the number (14) 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 1442832384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2198729664).

1442832384 is an abundant number, since it is smaller than the sum of its proper divisors (2954626944).

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

1442832384 is an frugal number, since it uses more digits than its factorization.

1442832384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8423 (or 8399 counting only the distinct ones).

The product of its digits is 147456, while the sum is 39.

The square root of 1442832384 is about 37984.6335246241. The cubic root of 1442832384 is about 1129.9831318128.

The spelling of 1442832384 in words is "one billion, four hundred forty-two million, eight hundred thirty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 4096 5376 6144 7168 8192 8387 10752 12288 14336 16774 21504 24576 25161 28672 33548 43008 50322 57344 58709 67096 86016 100644 117418 134192 172032 176127 201288 234836 268384 352254 402576 469672 536768 704508 805152 939344 1073536 1409016 1610304 1878688 2147072 2818032 3220608 3757376 4294144 5636064 6441216 7514752 8588288 11272128 12882432 15029504 17176576 22544256 25764864 30059008 34353152 45088512 51529728 60118016 68706304 90177024 103059456 120236032 180354048 206118912 240472064 360708096 480944128 721416192 1442832384