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1984444344 = 233283332069
BaseRepresentation
bin111011001001000…
…0011011110111000
312010022002012212200
41312102003132320
513031004204334
6524525310200
7100114333011
oct16622033670
95108065780
101984444344
11929192453
12474705360
1325818bb2c
1414b7aa008
15b933d799
hex764837b8

1984444344 has 48 divisors (see below), whose sum is σ = 5439306600. Its totient is φ = 653509824.

The previous prime is 1984444331. The next prime is 1984444349. The reversal of 1984444344 is 4434444891.

1984444344 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 1984444344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1984444349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 160059 + ... + 172010.

Almost surely, 21984444344 is an apocalyptic number.

It is an amenable number.

1984444344 is an abundant number, since it is smaller than the sum of its proper divisors (3454862256).

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

1984444344 is a wasteful number, since it uses less digits than its factorization.

1984444344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332164 (or 332157 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 1984444344 is about 44547.1025320391. The cubic root of 1984444344 is about 1256.6460613229.

The spelling of 1984444344 in words is "one billion, nine hundred eighty-four million, four hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 249 332 498 664 747 996 1494 1992 2988 5976 332069 664138 996207 1328276 1992414 2656552 2988621 3984828 5977242 7969656 11954484 23908968 27561727 55123454 82685181 110246908 165370362 220493816 248055543 330740724 496111086 661481448 992222172 1984444344