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73463040 = 283257911
BaseRepresentation
bin1000110000011…
…11010100000000
312010020022100100
410120033110000
5122301304130
611142322400
71551265650
oct430172400
9163208310
1073463040
1138516962
1220729400
13122b1b71
149a84360
1566b1c60
hex460f500

73463040 has 216 divisors, whose sum is σ = 290803968. Its totient is φ = 16773120.

The previous prime is 73463017. The next prime is 73463041. The reversal of 73463040 is 4036437.

It is a junction number, because it is equal to n+sod(n) for n = 73462995 and 73463013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73463041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80185 + ... + 81095.

Almost surely, 273463040 is an apocalyptic number.

73463040 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 73463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145401984).

73463040 is an abundant number, since it is smaller than the sum of its proper divisors (217340928).

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

73463040 is a wasteful number, since it uses less digits than its factorization.

73463040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 73463040 is about 8571.0582777158. The cubic root of 73463040 is about 418.8157113779.

Adding to 73463040 its reverse (4036437), we get a palindrome (77499477).

The spelling of 73463040 in words is "seventy-three million, four hundred sixty-three thousand, forty".