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127331334 = 232135310267
BaseRepresentation
bin1111001011011…
…10110000000110
322212121002202100
413211232300012
5230044100314
620345052530
73104204244
oct745566006
9285532670
10127331334
1165969a09
1236787146
13204c2bb0
1412ca7794
15b2a2c09
hex796ec06

127331334 has 48 divisors (see below), whose sum is σ = 302741712. Its totient is φ = 38435904.

The previous prime is 127331333. The next prime is 127331341. The reversal of 127331334 is 433133721.

It is a junction number, because it is equal to n+sod(n) for n = 127331298 and 127331307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127331333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7269 + ... + 17535.

It is an arithmetic number, because the mean of its divisors is an integer number (6307119).

Almost surely, 2127331334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127331334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151370856).

127331334 is an abundant number, since it is smaller than the sum of its proper divisors (175410378).

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

127331334 is a wasteful number, since it uses less digits than its factorization.

127331334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10341 (or 10338 counting only the distinct ones).

The product of its digits is 4536, while the sum is 27.

The square root of 127331334 is about 11284.1186629705. The cubic root of 127331334 is about 503.0893182467.

The spelling of 127331334 in words is "one hundred twenty-seven million, three hundred thirty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 53 78 106 117 159 234 318 477 689 954 1378 2067 4134 6201 10267 12402 20534 30801 61602 92403 133471 184806 266942 400413 544151 800826 1088302 1201239 1632453 2402478 3264906 4897359 7073963 9794718 14147926 21221889 42443778 63665667 127331334