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73068414 = 231719371019
BaseRepresentation
bin1000101101011…
…10111101111110
312002111021000120
410112232331332
5122201142124
611130035410
71545033306
oct426567576
9162437016
1073068414
1138277421
1220578b66
13121a4363
1499c0606
156634d79
hex45aef7e

73068414 has 64 divisors (see below), whose sum is σ = 167443200. Its totient is φ = 21109248.

The previous prime is 73068389. The next prime is 73068419. The reversal of 73068414 is 41486037.

73068414 = T132 + T133 + ... + T760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73068419) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71197 + ... + 72215.

It is an arithmetic number, because the mean of its divisors is an integer number (2616300).

Almost surely, 273068414 is an apocalyptic number.

73068414 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

73068414 is an abundant number, since it is smaller than the sum of its proper divisors (94374786).

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

73068414 is a wasteful number, since it uses less digits than its factorization.

73068414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097.

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 73068414 is about 8548.0064342512. The cubic root of 73068414 is about 418.0644383766.

The spelling of 73068414 in words is "seventy-three million, sixty-eight thousand, four hundred fourteen".

Divisors: 1 2 3 6 17 19 34 37 38 51 57 74 102 111 114 222 323 629 646 703 969 1019 1258 1406 1887 1938 2038 2109 3057 3774 4218 6114 11951 17323 19361 23902 34646 35853 37703 38722 51969 58083 71706 75406 103938 113109 116166 226218 329137 640951 658274 716357 987411 1281902 1432714 1922853 1974822 2149071 3845706 4298142 12178069 24356138 36534207 73068414