Search a number
-
+
73342769 = 292372357
BaseRepresentation
bin1000101111100…
…01111100110001
312010000012100212
410113301330301
5122233432034
611135553505
71550255213
oct427617461
9163005325
1073342769
1138444565
122068b895
131226c1b6
149a525b3
15668b2ce
hex45f1f31

73342769 has 12 divisors (see below), whose sum is σ = 78045084. Its totient is φ = 68870592.

The previous prime is 73342757. The next prime is 73342771. The reversal of 73342769 is 96724337.

It can be written as a sum of positive squares in 6 ways, for example, as 462400 + 72880369 = 680^2 + 8537^2 .

It is not a de Polignac number, because 73342769 - 212 = 73338673 is a prime.

It is a super-2 number, since 2×733427692 = 10758323529174722, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73342729) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29939 + ... + 32295.

It is an arithmetic number, because the mean of its divisors is an integer number (6503757).

Almost surely, 273342769 is an apocalyptic number.

It is an amenable number.

73342769 is a deficient number, since it is larger than the sum of its proper divisors (4702315).

73342769 is a wasteful number, since it uses less digits than its factorization.

73342769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2452 (or 2423 counting only the distinct ones).

The product of its digits is 190512, while the sum is 41.

The square root of 73342769 is about 8564.0392922966. The cubic root of 73342769 is about 418.5870299522.

The spelling of 73342769 in words is "seventy-three million, three hundred forty-two thousand, seven hundred sixty-nine".

Divisors: 1 29 37 841 1073 2357 31117 68353 87209 1982237 2529061 73342769