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81374349 = 373312551
BaseRepresentation
bin1001101100110…
…10110010001101
312200010020121210
410312122302031
5131312434344
612024045033
72005446000
oct466326215
9180106553
1081374349
1141a2a831
1223303779
1313b21b04
14ab43537
157225db9
hex4d9ac8d

81374349 has 32 divisors (see below), whose sum is σ = 130662400. Its totient is φ = 44982000.

The previous prime is 81374333. The next prime is 81374369. The reversal of 81374349 is 94347318.

It is not a de Polignac number, because 81374349 - 24 = 81374333 is a prime.

It is a super-3 number, since 3×813743493 (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

Its product of digits (72576) is a multiple of the sum of its prime divisors (2592).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81374329) 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, 30624 + ... + 33174.

It is an arithmetic number, because the mean of its divisors is an integer number (4083200).

Almost surely, 281374349 is an apocalyptic number.

It is an amenable number.

81374349 is a deficient number, since it is larger than the sum of its proper divisors (49288051).

81374349 is a wasteful number, since it uses less digits than its factorization.

81374349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2606 (or 2592 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 81374349 is about 9020.7731930251. The cubic root of 81374349 is about 433.3403958744.

The spelling of 81374349 in words is "eighty-one million, three hundred seventy-four thousand, three hundred forty-nine".

Divisors: 1 3 7 21 31 49 93 147 217 343 651 1029 1519 2551 4557 7653 10633 17857 31899 53571 79081 124999 237243 374997 553567 874993 1660701 2624979 3874969 11624907 27124783 81374349