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104410440 = 233252973137
BaseRepresentation
bin1100011100100…
…10110101001000
321021110121012100
412032102311020
5203212113230
614205513400
72405321421
oct616226510
9237417170
10104410440
1153a34122
122ab72860
1318829134
14dc1c648
159276660
hex6392d48

104410440 has 192 divisors, whose sum is σ = 358441200. Its totient is φ = 26320896.

The previous prime is 104410403. The next prime is 104410463. The reversal of 104410440 is 44014401.

It can be written as a sum of positive squares in 8 ways, for example, as 54199044 + 50211396 = 7362^2 + 7086^2 .

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, 762052 + ... + 762188.

Almost surely, 2104410440 is an apocalyptic number.

104410440 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 104410440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179220600).

104410440 is an abundant number, since it is smaller than the sum of its proper divisors (254030760).

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

104410440 is a wasteful number, since it uses less digits than its factorization.

104410440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 104410440 is about 10218.1426883754. The cubic root of 104410440 is about 470.8847676775.

Adding to 104410440 its reverse (44014401), we get a palindrome (148424841).

The spelling of 104410440 in words is "one hundred four million, four hundred ten thousand, four hundred forty".