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314021124 = 2236113953
BaseRepresentation
bin10010101101111…
…001010100000100
3210212212221000000
4102231321110010
51120342133444
651054321300
710532064324
oct2255712404
9725787000
10314021124
1115129079a
12891b9230
1350099a21
142d9c3284
151c87d469
hex12b79504

314021124 has 84 divisors (see below), whose sum is σ = 832092156. Its totient is φ = 103638528.

The previous prime is 314021119. The next prime is 314021137. The reversal of 314021124 is 421120413.

It can be written as a sum of positive squares in 2 ways, for example, as 51581124 + 262440000 = 7182^2 + 16200^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 314021097 and 314021106.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 329032 + ... + 329984.

It is an arithmetic number, because the mean of its divisors is an integer number (9905859).

Almost surely, 2314021124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314021124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416046078).

314021124 is an abundant number, since it is smaller than the sum of its proper divisors (518071032).

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

314021124 is a wasteful number, since it uses less digits than its factorization.

314021124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1071 counting only the distinct ones).

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

The square root of 314021124 is about 17720.6411847879. The cubic root of 314021124 is about 679.7036800048.

Adding to 314021124 its reverse (421120413), we get a palindrome (735141537).

The spelling of 314021124 in words is "three hundred fourteen million, twenty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 113 162 226 243 324 339 452 486 678 729 953 972 1017 1356 1458 1906 2034 2859 2916 3051 3812 4068 5718 6102 8577 9153 11436 12204 17154 18306 25731 27459 34308 36612 51462 54918 77193 82377 102924 107689 109836 154386 164754 215378 231579 308772 323067 329508 430756 463158 646134 694737 926316 969201 1292268 1389474 1938402 2778948 2907603 3876804 5815206 8722809 11630412 17445618 26168427 34891236 52336854 78505281 104673708 157010562 314021124