Search a number
-
+
31404114 = 2327416079
BaseRepresentation
bin111011111001…
…1000001010010
32012002111100100
41313303001102
531014412424
63041033230
7530634120
oct167630122
965074310
1031404114
11167aa415
12a625816
136677121
144256910
152b54dc9
hex1df3052

31404114 has 48 divisors (see below), whose sum is σ = 79672320. Its totient is φ = 8752320.

The previous prime is 31404101. The next prime is 31404119. The reversal of 31404114 is 41140413.

It is a super-2 number, since 2×314041142 = 1972436752249992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (31404119) 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 23 ways as a sum of consecutive naturals, for example, 2127 + ... + 8205.

It is an arithmetic number, because the mean of its divisors is an integer number (1659840).

Almost surely, 231404114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31404114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39836160).

31404114 is an abundant number, since it is smaller than the sum of its proper divisors (48268206).

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

31404114 is a wasteful number, since it uses less digits than its factorization.

31404114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6135 (or 6132 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 31404114 is about 5603.9373658170. The cubic root of 31404114 is about 315.4972042050.

Adding to 31404114 its reverse (41140413), we get a palindrome (72544527).

The spelling of 31404114 in words is "thirty-one million, four hundred four thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 82 123 126 246 287 369 574 738 861 1722 2583 5166 6079 12158 18237 36474 42553 54711 85106 109422 127659 249239 255318 382977 498478 747717 765954 1495434 1744673 2243151 3489346 4486302 5234019 10468038 15702057 31404114