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2384921136 = 2431337531949
BaseRepresentation
bin1000111000100111…
…0000001000110000
320011012122112202110
42032021300020300
514341014434021
61032353045320
7113046331563
oct21611601060
96135575673
102384921136
111014253604
12566856840
132c0139450
14188a564da
15de598476
hex8e270230

2384921136 has 160 divisors (see below), whose sum is σ = 6946430400. Its totient is φ = 700157952.

The previous prime is 2384921131. The next prime is 2384921167. The reversal of 2384921136 is 6311294832.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 2384921094 and 2384921103.

It is not an unprimeable number, because it can be changed into a prime (2384921131) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1222690 + ... + 1224638.

It is an arithmetic number, because the mean of its divisors is an integer number (43415190).

Almost surely, 22384921136 is an apocalyptic number.

2384921136 is a gapful number since it is divisible by the number (26) 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 2384921136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3473215200).

2384921136 is an abundant number, since it is smaller than the sum of its proper divisors (4561509264).

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

2384921136 is a wasteful number, since it uses less digits than its factorization.

2384921136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063 (or 2057 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 2384921136 is about 48835.6543521227. The cubic root of 2384921136 is about 1336.0560382628.

The spelling of 2384921136 in words is "two billion, three hundred eighty-four million, nine hundred twenty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 37 39 48 52 53 74 78 104 106 111 148 156 159 208 212 222 296 312 318 424 444 481 592 624 636 689 848 888 962 1272 1378 1443 1776 1924 1949 1961 2067 2544 2756 2886 3848 3898 3922 4134 5512 5772 5847 5883 7696 7796 7844 8268 11024 11544 11694 11766 15592 15688 16536 23088 23388 23532 25337 25493 31184 31376 33072 46776 47064 50674 50986 72113 76011 76479 93552 94128 101348 101972 103297 144226 152022 152958 202696 203944 206594 216339 288452 304044 305916 309891 405392 407888 413188 432678 576904 608088 611832 619782 826376 865356 937469 1153808 1216176 1223664 1239564 1342861 1652752 1730712 1874938 2479128 2685722 2812407 3461424 3749876 3821989 4028583 4958256 5371444 5624814 7499752 7643978 8057166 10742888 11249628 11465967 14999504 15287956 16114332 21485776 22499256 22931934 30575912 32228664 44998512 45863868 49685857 61151824 64457328 91727736 99371714 149057571 183455472 198743428 298115142 397486856 596230284 794973712 1192460568 2384921136