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314234424 = 23337613407
BaseRepresentation
bin10010101110101…
…101011000111000
3210220021202121000
4102232231120320
51120421000144
651103045000
710533643230
oct2256553070
9726252530
10314234424
11151416a79
12892a0760
1350142b3a
142da3acc0
151c8c1769
hex12bad638

314234424 has 128 divisors (see below), whose sum is σ = 1014220800. Its totient is φ = 88283520.

The previous prime is 314234423. The next prime is 314234461. The reversal of 314234424 is 424432413.

It is a happy number.

314234424 is a `hidden beast` number, since 3 + 1 + 4 + 234 + 424 = 666.

It is a super-2 number, since 2×3142344242 = 197486546453223552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314234423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90529 + ... + 93935.

It is an arithmetic number, because the mean of its divisors is an integer number (7923600).

Almost surely, 2314234424 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 314234424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507110400).

314234424 is an abundant number, since it is smaller than the sum of its proper divisors (699986376).

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

314234424 is a wasteful number, since it uses less digits than its factorization.

314234424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3490 (or 3480 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 314234424 is about 17726.6585683823. The cubic root of 314234424 is about 679.8575422453.

Adding to 314234424 its reverse (424432413), we get a palindrome (738666837).

The spelling of 314234424 in words is "three hundred fourteen million, two hundred thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 61 63 72 84 108 122 126 168 183 189 216 244 252 366 378 427 488 504 549 732 756 854 1098 1281 1464 1512 1647 1708 2196 2562 3294 3407 3416 3843 4392 5124 6588 6814 7686 10221 10248 11529 13176 13628 15372 20442 23058 23849 27256 30663 30744 40884 46116 47698 61326 71547 81768 91989 92232 95396 122652 143094 183978 190792 207827 214641 245304 286188 367956 415654 429282 572376 623481 643923 735912 831308 858564 1246962 1287846 1454789 1662616 1717128 1870443 2493924 2575692 2909578 3740886 4364367 4987848 5151384 5611329 5819156 7481772 8728734 11222658 11638312 13093101 14963544 17457468 22445316 26186202 34914936 39279303 44890632 52372404 78558606 104744808 157117212 314234424