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103334040 = 233252391201
BaseRepresentation
bin1100010100011…
…00000010011000
321012102220122200
412022030002120
5202423142130
614130450200
72363216265
oct612140230
9235386580
10103334040
1153369437
122a733960
1318540204
14da1c26c
159112760
hex628c098

103334040 has 96 divisors (see below), whose sum is σ = 337521600. Its totient is φ = 27417600.

The previous prime is 103333987. The next prime is 103334053. The reversal of 103334040 is 40433301.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85440 + ... + 86640.

It is an arithmetic number, because the mean of its divisors is an integer number (3515850).

Almost surely, 2103334040 is an apocalyptic number.

103334040 is a gapful number since it is divisible by the number (10) 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 103334040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168760800).

103334040 is an abundant number, since it is smaller than the sum of its proper divisors (234187560).

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

103334040 is a wasteful number, since it uses less digits than its factorization.

103334040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 103334040 is about 10165.3352133611. The cubic root of 103334040 is about 469.2610085874.

Adding to 103334040 its reverse (40433301), we get a palindrome (143767341).

The spelling of 103334040 in words is "one hundred three million, three hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 239 360 478 717 956 1195 1201 1434 1912 2151 2390 2402 2868 3585 3603 4302 4780 4804 5736 6005 7170 7206 8604 9560 9608 10755 10809 12010 14340 14412 17208 18015 21510 21618 24020 28680 28824 36030 43020 43236 48040 54045 72060 86040 86472 108090 144120 216180 287039 432360 574078 861117 1148156 1435195 1722234 2296312 2583351 2870390 3444468 4305585 5166702 5740780 6888936 8611170 10333404 11481560 12916755 17222340 20666808 25833510 34444680 51667020 103334040