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308344992 = 25323731913
BaseRepresentation
bin10010011000001…
…111100010100000
3210111012112210220
4102120033202200
51112414014432
650332523040
710432613664
oct2230174240
9714175726
10308344992
1114906417a
1287320480
134bb60277
142cd468a4
151c10b72c
hex1260f8a0

308344992 has 96 divisors (see below), whose sum is σ = 856614528. Its totient is φ = 96915456.

The previous prime is 308344973. The next prime is 308345041. The reversal of 308344992 is 299443803.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 160228 + ... + 162140.

It is an arithmetic number, because the mean of its divisors is an integer number (8923068).

Almost surely, 2308344992 is an apocalyptic number.

308344992 is a gapful number since it is divisible by the number (32) 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 308344992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428307264).

308344992 is an abundant number, since it is smaller than the sum of its proper divisors (548269536).

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

308344992 is a wasteful number, since it uses less digits than its factorization.

308344992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 308344992 is about 17559.7548957837. The cubic root of 308344992 is about 675.5833946733.

The spelling of 308344992 in words is "three hundred eight million, three hundred forty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 73 92 96 138 146 184 219 276 292 368 438 552 584 736 876 1104 1168 1679 1752 1913 2208 2336 3358 3504 3826 5037 5739 6716 7008 7652 10074 11478 13432 15304 20148 22956 26864 30608 40296 43999 45912 53728 61216 80592 87998 91824 131997 139649 161184 175996 183648 263994 279298 351992 418947 527988 558596 703984 837894 1055976 1117192 1407968 1675788 2111952 2234384 3211927 3351576 4223904 4468768 6423854 6703152 9635781 12847708 13406304 19271562 25695416 38543124 51390832 77086248 102781664 154172496 308344992