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314234430 = 235292511439
BaseRepresentation
bin10010101110101…
…101011000111110
3210220021202121020
4102232231120332
51120421000210
651103045010
710533643236
oct2256553076
9726252536
10314234430
11151416a84
12892a0766
1350142b43
142da3acc6
151c8c1770
hex12bad63e

314234430 has 64 divisors (see below), whose sum is σ = 783820800. Its totient is φ = 80528000.

The previous prime is 314234423. The next prime is 314234461. The reversal of 314234430 is 34432413.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 314234430.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 217651 + ... + 219089.

It is an arithmetic number, because the mean of its divisors is an integer number (12247200).

Almost surely, 2314234430 is an apocalyptic number.

314234430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 314234430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391910400).

314234430 is an abundant number, since it is smaller than the sum of its proper divisors (469586370).

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

314234430 is a wasteful number, since it uses less digits than its factorization.

314234430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729.

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 314234430 is about 17726.6587376189. The cubic root of 314234430 is about 679.8575465724.

Adding to 314234430 its reverse (34432413), we get a palindrome (348666843).

It can be divided in two parts, 31423 and 4430, that added together give a palindrome (35853).

The spelling of 314234430 in words is "three hundred fourteen million, two hundred thirty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 251 290 435 502 753 870 1255 1439 1506 2510 2878 3765 4317 7195 7279 7530 8634 14390 14558 21585 21837 36395 41731 43170 43674 72790 83462 109185 125193 208655 218370 250386 361189 417310 625965 722378 1083567 1251930 1805945 2167134 3611890 5417835 10474481 10835670 20948962 31423443 52372405 62846886 104744810 157117215 314234430