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31378014 = 23231531061
BaseRepresentation
bin111011110110…
…0101001011110
32012001011112200
41313230221132
531013044024
63040312330
7530465043
oct167545136
965034480
1031378014
1116791848
12a6126a6
136668295
14424b1ca
152b4c2c9
hex1deca5e

31378014 has 48 divisors (see below), whose sum is σ = 71570304. Its totient is φ = 9921600.

The previous prime is 31378013. The next prime is 31378019. The reversal of 31378014 is 41087313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31378013) 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, 29044 + ... + 30104.

It is an arithmetic number, because the mean of its divisors is an integer number (1491048).

Almost surely, 231378014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31378014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35785152).

31378014 is an abundant number, since it is smaller than the sum of its proper divisors (40192290).

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

31378014 is a wasteful number, since it uses less digits than its factorization.

31378014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 31378014 is about 5601.6081619478. The cubic root of 31378014 is about 315.4097766012.

The spelling of 31378014 in words is "thirty-one million, three hundred seventy-eight thousand, fourteen".

Divisors: 1 2 3 6 9 18 31 53 62 93 106 159 186 279 318 477 558 954 1061 1643 2122 3183 3286 4929 6366 9549 9858 14787 19098 29574 32891 56233 65782 98673 112466 168699 197346 296019 337398 506097 592038 1012194 1743223 3486446 5229669 10459338 15689007 31378014