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441383424 = 2931132543
BaseRepresentation
bin11010010011101…
…111101000000000
31010202112121020020
4122103233220000
51400443232144
6111444213440
713636461066
oct3223575000
91122477206
10441383424
11207170999
1210399a280
13705a0a31
1442898036
1528b3a419
hex1a4efa00

441383424 has 80 divisors (see below), whose sum is σ = 1186745472. Its totient is φ = 145768448.

The previous prime is 441383413. The next prime is 441383431. The reversal of 441383424 is 424383144.

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

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, 172297 + ... + 174839.

Almost surely, 2441383424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441383424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593372736).

441383424 is an abundant number, since it is smaller than the sum of its proper divisors (745362048).

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

441383424 is a wasteful number, since it uses less digits than its factorization.

441383424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2677 (or 2661 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

The square root of 441383424 is about 21009.1271594038. The cubic root of 441383424 is about 761.3867938845.

The spelling of 441383424 in words is "four hundred forty-one million, three hundred eighty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 192 226 256 339 384 452 512 678 768 904 1356 1536 1808 2543 2712 3616 5086 5424 7232 7629 10172 10848 14464 15258 20344 21696 28928 30516 40688 43392 57856 61032 81376 86784 122064 162752 173568 244128 287359 325504 488256 574718 651008 862077 976512 1149436 1302016 1724154 1953024 2298872 3448308 3906048 4597744 6896616 9195488 13793232 18390976 27586464 36781952 55172928 73563904 110345856 147127808 220691712 441383424