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73343296 = 261326781
BaseRepresentation
bin1000101111100…
…10000101000000
312010000020002101
410113302011000
5122233441141
611140000144
71550256565
oct427620500
9163006071
1073343296
11384449a4
1220690054
131226c500
149a5286c
15668b531
hex45f2140

73343296 has 42 divisors (see below), whose sum is σ = 157620462. Its totient is φ = 33845760.

The previous prime is 73343293. The next prime is 73343299. The reversal of 73343296 is 69234337.

It is an interprime number because it is at equal distance from previous prime (73343293) and next prime (73343299).

It can be written as a sum of positive squares in 3 ways, for example, as 69696 + 73273600 = 264^2 + 8560^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73343293) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7426 + ... + 14206.

Almost surely, 273343296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73343296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78810231).

73343296 is an abundant number, since it is smaller than the sum of its proper divisors (84277166).

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

73343296 is a wasteful number, since it uses less digits than its factorization.

73343296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6819 (or 6796 counting only the distinct ones).

The product of its digits is 81648, while the sum is 37.

The square root of 73343296 is about 8564.0700604327. The cubic root of 73343296 is about 418.5880325270.

The spelling of 73343296 in words is "seventy-three million, three hundred forty-three thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2704 5408 6781 10816 13562 27124 54248 88153 108496 176306 216992 352612 433984 705224 1145989 1410448 2291978 2820896 4583956 5641792 9167912 18335824 36671648 73343296