Search a number
-
+
3320314404 = 22311178317827
BaseRepresentation
bin1100010111100111…
…1111101000100100
322120101202110002120
43011321333220210
523300000030104
61305245505540
7145165130631
oct30571775044
98511673076
103320314404
11145425a3a0
12787b722b0
1340bb758a4
14236d87188
15146766cd9
hexc5e7fa24

3320314404 has 96 divisors (see below), whose sum is σ = 9057194496. Its totient is φ = 935508480.

The previous prime is 3320314351. The next prime is 3320314409. The reversal of 3320314404 is 4044130233.

It is a super-3 number, since 3×33203144043 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (3320314409) 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, 177339 + ... + 195165.

It is an arithmetic number, because the mean of its divisors is an integer number (94345776).

Almost surely, 23320314404 is an apocalyptic number.

3320314404 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3320314404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4528597248).

3320314404 is an abundant number, since it is smaller than the sum of its proper divisors (5736880092).

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

3320314404 is a wasteful number, since it uses less digits than its factorization.

3320314404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17945 (or 17943 counting only the distinct ones).

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

The square root of 3320314404 is about 57622.1693795018. The cubic root of 3320314404 is about 1491.8542750720.

Adding to 3320314404 its reverse (4044130233), we get a palindrome (7364444637).

The spelling of 3320314404 in words is "three billion, three hundred twenty million, three hundred fourteen thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 83 102 132 166 187 204 249 332 374 498 561 748 913 996 1122 1411 1826 2244 2739 2822 3652 4233 5478 5644 8466 10956 15521 16932 17827 31042 35654 46563 53481 62084 71308 93126 106962 186252 196097 213924 303059 392194 588291 606118 784388 909177 1176582 1212236 1479641 1818354 2353164 2959282 3333649 3636708 4438923 5918564 6667298 8877846 10000947 13334596 16276051 17755692 20001894 25153897 32552102 40003788 48828153 50307794 65104204 75461691 97656306 100615588 150923382 195312612 276692867 301846764 553385734 830078601 1106771468 1660157202 3320314404