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103504324 = 227111923769
BaseRepresentation
bin1100010101101…
…01100111000100
321012202120020111
412022311213010
5202444114244
614134242404
72364525610
oct612654704
9235676214
10103504324
1153475370
122a7b6404
131859c881
14da64340
159147e34
hex62b59c4

103504324 has 96 divisors (see below), whose sum is σ = 248371200. Its totient is φ = 36495360.

The previous prime is 103504321. The next prime is 103504327. The reversal of 103504324 is 423405301.

It is an interprime number because it is at equal distance from previous prime (103504321) and next prime (103504327).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 103504295 and 103504304.

It is not an unprimeable number, because it can be changed into a prime (103504321) 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 31 ways as a sum of consecutive naturals, for example, 134212 + ... + 134980.

It is an arithmetic number, because the mean of its divisors is an integer number (2587200).

Almost surely, 2103504324 is an apocalyptic number.

103504324 is a gapful number since it is divisible by the number (14) 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 103504324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124185600).

103504324 is an abundant number, since it is smaller than the sum of its proper divisors (144866876).

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

103504324 is a wasteful number, since it uses less digits than its factorization.

103504324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 103504324 is about 10173.7074854745. The cubic root of 103504324 is about 469.5186319498.

Adding to 103504324 its reverse (423405301), we get a palindrome (526909625).

The spelling of 103504324 in words is "one hundred three million, five hundred four thousand, three hundred twenty-four".

Divisors: 1 2 4 7 11 14 19 22 23 28 38 44 46 76 77 92 133 154 161 209 253 266 308 322 418 437 506 532 644 769 836 874 1012 1463 1538 1748 1771 2926 3059 3076 3542 4807 5383 5852 6118 7084 8459 9614 10766 12236 14611 16918 17687 19228 21532 29222 33649 33836 35374 58444 59213 67298 70748 102277 118426 123809 134596 160721 194557 204554 236852 247618 321442 336053 389114 409108 495236 642884 672106 778228 1125047 1344212 1361899 2250094 2352371 2723798 3696583 4500188 4704742 5447596 7393166 9409484 14786332 25876081 51752162 103504324