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104464384 = 217797
BaseRepresentation
bin1100011101000…
…00000000000000
321021120100012021
412032200000000
5203220330014
614211011224
72405634613
oct616400000
9237510167
10104464384
1153a70702
122ab99b14
131884785b
14dc3417a
159287624
hex63a0000

104464384 has 36 divisors (see below), whose sum is σ = 209190114. Its totient is φ = 52166656.

The previous prime is 104464369. The next prime is 104464403. The reversal of 104464384 is 483464401.

It can be written as a sum of positive squares in only one way, i.e., 89718784 + 14745600 = 9472^2 + 3840^2 .

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 130674 + ... + 131470.

Almost surely, 2104464384 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 104464384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104595057).

104464384 is an abundant number, since it is smaller than the sum of its proper divisors (104725730).

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

104464384 is an frugal number, since it uses more digits than its factorization.

104464384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 104464384 is about 10220.7819661707. The cubic root of 104464384 is about 470.9658484410.

The spelling of 104464384 in words is "one hundred four million, four hundred sixty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 797 1024 1594 2048 3188 4096 6376 8192 12752 16384 25504 32768 51008 65536 102016 131072 204032 408064 816128 1632256 3264512 6529024 13058048 26116096 52232192 104464384