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376831 = 71341101
BaseRepresentation
bin1011011111111111111
3201010220201
41123333333
544024311
612024331
73126430
oct1337777
9633821
10376831
11238134
121620a7
131026a0
149b487
15769c1
hex5bfff

376831 has 16 divisors (see below), whose sum is σ = 479808. Its totient is φ = 288000.

The previous prime is 376823. The next prime is 376837. The reversal of 376831 is 138673.

It is a 8-Lehmer number, since φ(376831) divides (376831-1)8.

It is a cyclic number.

It is not a de Polignac number, because 376831 - 23 = 376823 is a prime.

It is a super-2 number, since 2×3768312 = 284003205122, which contains 22 as substring.

It is a plaindrome in base 4, base 8 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 376831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (376837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3681 + ... + 3781.

It is an arithmetic number, because the mean of its divisors is an integer number (29988).

376831 is a Friedman number, since it can be written as 8^3*(7+3^6)-1, using all its digits and the basic arithmetic operations.

It is the magic constant of a 91 × 91 magic square.

2376831 is an apocalyptic number.

376831 is a deficient number, since it is larger than the sum of its proper divisors (102977).

376831 is a wasteful number, since it uses less digits than its factorization.

376831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162.

The product of its digits is 3024, while the sum is 28.

The square root of 376831 is about 613.8656204741. The cubic root of 376831 is about 72.2296550755.

The spelling of 376831 in words is "three hundred seventy-six thousand, eight hundred thirty-one".

Divisors: 1 7 13 41 91 101 287 533 707 1313 3731 4141 9191 28987 53833 376831