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102240324 = 22323776757
BaseRepresentation
bin1100001100000…
…01000001000100
321010101100100200
412012001001010
5202133142244
614051210500
72351012514
oct606010104
9233340320
10102240324
115279173a
122a2a6a30
1318249444
14d815844
158e98669
hex6181044

102240324 has 36 divisors (see below), whose sum is σ = 265429164. Its totient is φ = 33158592.

The previous prime is 102240323. The next prime is 102240377. The reversal of 102240324 is 423042201.

102240324 is a `hidden beast` number, since 102 + 240 + 324 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 92505924 + 9734400 = 9618^2 + 3120^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102240297 and 102240306.

It is not an unprimeable number, because it can be changed into a prime (102240323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37047 + ... + 39710.

Almost surely, 2102240324 is an apocalyptic number.

It is an amenable number.

102240324 is an abundant number, since it is smaller than the sum of its proper divisors (163188840).

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

102240324 is a wasteful number, since it uses less digits than its factorization.

102240324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76804 (or 76799 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 102240324 is about 10111.3957493513. The cubic root of 102240324 is about 467.5995368906.

Adding to 102240324 its reverse (423042201), we get a palindrome (525282525).

The spelling of 102240324 in words is "one hundred two million, two hundred forty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 76757 153514 230271 307028 460542 690813 921084 1381626 2763252 2840009 5680018 8520027 11360036 17040054 25560081 34080108 51120162 102240324