Search a number
-
+
104355324 = 22332343977
BaseRepresentation
bin1100011100001…
…01010111111100
321021100210121000
412032011113330
5203203332244
614204410300
72405001633
oct616052774
9237323530
10104355324
11539a6777
122ab46990
131880a018
14dc0651a
159265169
hex63855fc

104355324 has 96 divisors (see below), whose sum is σ = 289175040. Its totient is φ = 32465664.

The previous prime is 104355283. The next prime is 104355379. The reversal of 104355324 is 423553401.

104355324 is a `hidden beast` number, since 104 + 3 + 553 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106324 + ... + 107300.

It is an arithmetic number, because the mean of its divisors is an integer number (3012240).

Almost surely, 2104355324 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 104355324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144587520).

104355324 is an abundant number, since it is smaller than the sum of its proper divisors (184819716).

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

104355324 is a wasteful number, since it uses less digits than its factorization.

104355324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 104355324 is about 10215.4453647406. The cubic root of 104355324 is about 470.8018964853.

The spelling of 104355324 in words is "one hundred four million, three hundred fifty-five thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 43 46 54 69 86 92 108 129 138 172 207 258 276 387 414 516 621 774 828 977 989 1161 1242 1548 1954 1978 2322 2484 2931 2967 3908 3956 4644 5862 5934 8793 8901 11724 11868 17586 17802 22471 26379 26703 35172 35604 42011 44942 52758 53406 67413 84022 89884 105516 106812 126033 134826 168044 202239 252066 269652 378099 404478 504132 606717 756198 808956 966253 1134297 1213434 1512396 1932506 2268594 2426868 2898759 3865012 4537188 5797518 8696277 11595036 17392554 26088831 34785108 52177662 104355324