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73841040 = 24325731323
BaseRepresentation
bin1000110011010…
…11100110010000
312010221111212100
410121223212100
5122400403130
611154400400
71554432000
oct431534620
9163844770
1073841040
1138754959
1220890100
13123b4c30
149b42000
156738c60
hex466b990

73841040 has 480 divisors, whose sum is σ = 324979200. Its totient is φ = 14902272.

The previous prime is 73841023. The next prime is 73841051. The reversal of 73841040 is 4014837.

It is a junction number, because it is equal to n+sod(n) for n = 73840995 and 73841013.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3210469 + ... + 3210491.

It is an arithmetic number, because the mean of its divisors is an integer number (677040).

Almost surely, 273841040 is an apocalyptic number.

73841040 is a gapful number since it is divisible by the number (70) 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 73841040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162489600).

73841040 is an abundant number, since it is smaller than the sum of its proper divisors (251138160).

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

73841040 is a wasteful number, since it uses less digits than its factorization.

73841040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 73841040 is about 8593.0809375916. The cubic root of 73841040 is about 419.5328138525.

Adding to 73841040 its reverse (4014837), we get a palindrome (77855877).

The spelling of 73841040 in words is "seventy-three million, eight hundred forty-one thousand, forty".