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104634024 = 233112137263
BaseRepresentation
bin1100011110010…
…01011010101000
321021212221220020
412033021122220
5203241242044
614214400440
72410242315
oct617113250
9237787806
10104634024
1154077100
122b060120
13188a6b31
14dc79d0c
1592bca19
hex63c96a8

104634024 has 96 divisors (see below), whose sum is σ = 290727360. Its totient is φ = 31356160.

The previous prime is 104633981. The next prime is 104634029. The reversal of 104634024 is 420436401.

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 = 104633985 and 104634003.

It is not an unprimeable number, because it can be changed into a prime (104634029) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 397717 + ... + 397979.

It is an arithmetic number, because the mean of its divisors is an integer number (3028410).

Almost surely, 2104634024 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 104634024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145363680).

104634024 is an abundant number, since it is smaller than the sum of its proper divisors (186093336).

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

104634024 is a wasteful number, since it uses less digits than its factorization.

104634024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 104634024 is about 10229.0773777502. The cubic root of 104634024 is about 471.2206448140.

The spelling of 104634024 in words is "one hundred four million, six hundred thirty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 137 242 263 264 274 363 411 484 526 548 726 789 822 968 1052 1096 1452 1507 1578 1644 2104 2893 2904 3014 3156 3288 4521 5786 6028 6312 8679 9042 11572 12056 16577 17358 18084 23144 31823 33154 34716 36031 36168 49731 63646 66308 69432 72062 95469 99462 108093 127292 132616 144124 190938 198924 216186 254584 288248 381876 396341 397848 432372 763752 792682 864744 1189023 1585364 2378046 3170728 4359751 4756092 8719502 9512184 13079253 17439004 26158506 34878008 52317012 104634024