Search a number
-
+
1923200384 = 2772393323
BaseRepresentation
bin111001010100001…
…1011010110000000
311222000211200221212
41302220123112000
512414314403014
6514500505252
765441635130
oct16250332600
94860750855
101923200384
118a7661a06
124580ab228
132485978c1
141435c6ac0
15b3c9223e
hex72a1b580

1923200384 has 64 divisors (see below), whose sum is σ = 4569143040. Its totient is φ = 788384256.

The previous prime is 1923200371. The next prime is 1923200399. The reversal of 1923200384 is 4830023291.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1923200384.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26054 + ... + 67269.

It is an arithmetic number, because the mean of its divisors is an integer number (71392860).

Almost surely, 21923200384 is an apocalyptic number.

1923200384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1923200384 is an abundant number, since it is smaller than the sum of its proper divisors (2645942656).

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

1923200384 is an equidigital number, since it uses as much as digits as its factorization.

1923200384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93367 (or 93355 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 1923200384 is about 43854.3086138637. The cubic root of 1923200384 is about 1243.5831980074.

The spelling of 1923200384 in words is "one billion, nine hundred twenty-three million, two hundred thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 322 368 448 644 736 896 1288 1472 2576 2944 5152 10304 20608 93323 186646 373292 653261 746584 1306522 1493168 2146429 2613044 2986336 4292858 5226088 5972672 8585716 10452176 11945344 15025003 17171432 20904352 30050006 34342864 41808704 60100012 68685728 83617408 120200024 137371456 240400048 274742912 480800096 961600192 1923200384