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73312369 = 132461941
BaseRepresentation
bin1000101111010…
…10100001110001
312002221122122221
410113222201301
5122231443434
611135201041
71550100454
oct427524161
9162848587
1073312369
1138423739
1220676181
131225b400
149a4549b
1566822b4
hex45ea871

73312369 has 12 divisors (see below), whose sum is σ = 79642332. Its totient is φ = 67454400.

The previous prime is 73312363. The next prime is 73312373. The reversal of 73312369 is 96321337.

It can be written as a sum of positive squares in 6 ways, for example, as 12285025 + 61027344 = 3505^2 + 7812^2 .

It is not a de Polignac number, because 73312369 - 29 = 73311857 is a prime.

It is a super-2 number, since 2×733123692 = 10749406896784322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73312363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77439 + ... + 78379.

It is an arithmetic number, because the mean of its divisors is an integer number (6636861).

Almost surely, 273312369 is an apocalyptic number.

It is an amenable number.

73312369 is a deficient number, since it is larger than the sum of its proper divisors (6329963).

73312369 is a wasteful number, since it uses less digits than its factorization.

73312369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1415 counting only the distinct ones).

The product of its digits is 20412, while the sum is 34.

The square root of 73312369 is about 8562.2642449296. The cubic root of 73312369 is about 418.5291882843.

The spelling of 73312369 in words is "seventy-three million, three hundred twelve thousand, three hundred sixty-nine".

Divisors: 1 13 169 461 941 5993 12233 77909 159029 433801 5639413 73312369