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394300032 = 27373832
BaseRepresentation
bin10111100000001…
…000101010000000
31000110221111221220
4113200020222000
51301420100112
6103043115040
712525331530
oct2740105200
91013844856
10394300032
111926324a5
12b0072a80
13638c7039
143a51d4c0
152493998c
hex17808a80

394300032 has 96 divisors (see below), whose sum is σ = 1200115680. Its totient is φ = 112363008.

The previous prime is 394299953. The next prime is 394300051. The reversal of 394300032 is 230003493.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 394299975 and 394300011.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1029313 + ... + 1029695.

It is an arithmetic number, because the mean of its divisors is an integer number (12501205).

Almost surely, 2394300032 is an apocalyptic number.

394300032 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 394300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600057840).

394300032 is an abundant number, since it is smaller than the sum of its proper divisors (805815648).

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

394300032 is an frugal number, since it uses more digits than its factorization.

394300032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 394300032 is about 19856.9894999217. The cubic root of 394300032 is about 733.2897325776.

The spelling of 394300032 in words is "three hundred ninety-four million, three hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 383 384 448 672 766 896 1149 1344 1532 2298 2681 2688 3064 4596 5362 6128 8043 9192 10724 12256 16086 18384 21448 24512 32172 36768 42896 49024 64344 73536 85792 128688 146689 147072 171584 257376 293378 343168 440067 514752 586756 880134 1026823 1029504 1173512 1760268 2053646 2347024 3080469 3520536 4107292 4694048 6160938 7041072 8214584 9388096 12321876 14082144 16429168 18776192 24643752 28164288 32858336 49287504 56328576 65716672 98575008 131433344 197150016 394300032