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314113332 = 22313103113173
BaseRepresentation
bin10010101110001…
…111110100110100
3210220001121111010
4102232033310310
51120403111312
651100312220
710532630211
oct2256176464
9726047433
10314113332
11151343aa5
1289242670
13500cc9a0
142da08b08
151c89a93c
hex12b8fd34

314113332 has 96 divisors (see below), whose sum is σ = 808674048. Its totient is φ = 94316544.

The previous prime is 314113279. The next prime is 314113343. The reversal of 314113332 is 233311413.

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

It is a junction number, because it is equal to n+sod(n) for n = 314113299 and 314113308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1815598 + ... + 1815770.

It is an arithmetic number, because the mean of its divisors is an integer number (8423688).

Almost surely, 2314113332 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 314113332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404337024).

314113332 is an abundant number, since it is smaller than the sum of its proper divisors (494560716).

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

314113332 is a wasteful number, since it uses less digits than its factorization.

314113332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 407 counting only the distinct ones).

The product of its digits is 648, while the sum is 21.

The square root of 314113332 is about 17723.2427055548. The cubic root of 314113332 is about 679.7702020514.

Adding to 314113332 its reverse (233311413), we get a palindrome (547424745).

It can be divided in two parts, 31411 and 3332, that added together give a palindrome (34743).

The spelling of 314113332 in words is "three hundred fourteen million, one hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 103 113 156 173 206 226 309 339 346 412 452 519 618 678 692 1038 1236 1339 1356 1469 2076 2249 2678 2938 4017 4407 4498 5356 5876 6747 8034 8814 8996 11639 13494 16068 17628 17819 19549 23278 26988 34917 35638 39098 46556 53457 58647 69834 71276 78196 106914 117294 139668 151307 213828 231647 234588 254137 302614 453921 463294 508274 605228 694941 762411 907842 926588 1016548 1389882 1524822 1815684 2013547 2779764 3049644 4027094 6040641 8054188 12081282 24162564 26176111 52352222 78528333 104704444 157056666 314113332