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314234052 = 2231117233601
BaseRepresentation
bin10010101110101…
…101010011000100
3210220021202002020
4102232231103010
51120420442202
651103043140
710533642156
oct2256552304
9726252066
10314234052
11151416770
12892a04b0
1350142912
142da3aad6
151c8c15bc
hex12bad4c4

314234052 has 96 divisors (see below), whose sum is σ = 851969664. Its totient is φ = 89088000.

The previous prime is 314234051. The next prime is 314234077. The reversal of 314234052 is 250432413.

It is not an unprimeable number, because it can be changed into a prime (314234051) 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, 522552 + ... + 523152.

It is an arithmetic number, because the mean of its divisors is an integer number (8874684).

Almost surely, 2314234052 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 314234052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425984832).

314234052 is an abundant number, since it is smaller than the sum of its proper divisors (537735612).

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

314234052 is a wasteful number, since it uses less digits than its factorization.

314234052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 314234052 is about 17726.6480757079. The cubic root of 314234052 is about 679.8572739667.

Adding to 314234052 its reverse (250432413), we get a palindrome (564666465).

The spelling of 314234052 in words is "three hundred fourteen million, two hundred thirty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 233 374 466 561 601 699 748 932 1122 1202 1398 1803 2244 2404 2563 2796 3606 3961 5126 6611 7212 7689 7922 10217 10252 11883 13222 15378 15844 19833 20434 23766 26444 30651 30756 39666 40868 43571 47532 61302 79332 87142 112387 122604 130713 140033 174284 224774 261426 280066 337161 420099 449548 522852 560132 674322 840198 1348644 1540363 1680396 2380561 3080726 4621089 4761122 6161452 7141683 9242178 9522244 14283366 18484356 26186171 28566732 52372342 78558513 104744684 157117026 314234052