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104360328 = 233229151331
BaseRepresentation
bin1100011100001…
…10100110001000
321021101001110100
412032012212020
5203204012303
614204445400
72405022342
oct616064610
9237331410
10104360328
11539aa506
122ab49860
131880c397
14dc08292
1592668a3
hex6386988

104360328 has 96 divisors (see below), whose sum is σ = 295214400. Its totient is φ = 33264000.

The previous prime is 104360317. The next prime is 104360329. The reversal of 104360328 is 823063401.

It is a happy number.

104360328 is a `hidden beast` number, since 10 + 43 + 603 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104360329) 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 23 ways as a sum of consecutive naturals, for example, 315123 + ... + 315453.

It is an arithmetic number, because the mean of its divisors is an integer number (3075150).

Almost surely, 2104360328 is an apocalyptic number.

104360328 is a gapful number since it is divisible by the number (18) 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 104360328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147607200).

104360328 is an abundant number, since it is smaller than the sum of its proper divisors (190854072).

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

104360328 is a wasteful number, since it uses less digits than its factorization.

104360328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 104360328 is about 10215.6902850468. The cubic root of 104360328 is about 470.8094215926.

The spelling of 104360328 in words is "one hundred four million, three hundred sixty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 151 174 232 261 302 331 348 453 522 604 662 696 906 993 1044 1208 1324 1359 1812 1986 2088 2648 2718 2979 3624 3972 4379 5436 5958 7944 8758 9599 10872 11916 13137 17516 19198 23832 26274 28797 35032 38396 39411 49981 52548 57594 76792 78822 86391 99962 105096 115188 149943 157644 172782 199924 230376 299886 315288 345564 399848 449829 599772 691128 899658 1199544 1449449 1799316 2898898 3598632 4348347 5797796 8696694 11595592 13045041 17393388 26090082 34786776 52180164 104360328