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103042440 = 2332517113149
BaseRepresentation
bin1100010010001…
…00110110001000
321011220002122200
412021010312020
5202334324230
614120320200
72360563164
oct611046610
9234802580
10103042440
115318a346
122a613060
131846a577
14d983ca4
1590a6160
hex6244d88

103042440 has 192 divisors, whose sum is σ = 360126000. Its totient is φ = 25460736.

The previous prime is 103042439. The next prime is 103042451. The reversal of 103042440 is 44240301.

It can be written as a sum of positive squares in 8 ways, for example, as 10074276 + 92968164 = 3174^2 + 9642^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 691486 + ... + 691634.

Almost surely, 2103042440 is an apocalyptic number.

103042440 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 103042440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180063000).

103042440 is an abundant number, since it is smaller than the sum of its proper divisors (257083560).

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

103042440 is a wasteful number, since it uses less digits than its factorization.

103042440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 289 counting only the distinct ones).

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

The square root of 103042440 is about 10150.9822184851. The cubic root of 103042440 is about 468.8191876540.

Adding to 103042440 its reverse (44240301), we get a palindrome (147282741).

The spelling of 103042440 in words is "one hundred three million, forty-two thousand, four hundred forty".