Search a number
-
+
303314214 = 2373197757
BaseRepresentation
bin10010000101000…
…011010100100110
3210010201221212210
4102011003110212
51110122023324
650033024250
710342062000
oct2205032446
9703657783
10303314214
11146238505
12856b5086
134aabb488
142c3d7370
151b965d29
hex12143526

303314214 has 64 divisors (see below), whose sum is σ = 744768000. Its totient is φ = 82089504.

The previous prime is 303314129. The next prime is 303314237. The reversal of 303314214 is 412413303.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35224 + ... + 42980.

It is an arithmetic number, because the mean of its divisors is an integer number (11637000).

Almost surely, 2303314214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 303314214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372384000).

303314214 is an abundant number, since it is smaller than the sum of its proper divisors (441453786).

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

303314214 is a wasteful number, since it uses less digits than its factorization.

303314214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7802 (or 7788 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 303314214 is about 17415.9184081690. The cubic root of 303314214 is about 671.8890875979.

Adding to 303314214 its reverse (412413303), we get a palindrome (715727517).

The spelling of 303314214 in words is "three hundred three million, three hundred fourteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 98 114 133 147 266 294 343 399 686 798 931 1029 1862 2058 2793 5586 6517 7757 13034 15514 19551 23271 39102 46542 54299 108598 147383 162897 294766 325794 380093 442149 760186 884298 1031681 1140279 2063362 2280558 2660651 3095043 5321302 6190086 7221767 7981953 14443534 15963906 21665301 43330602 50552369 101104738 151657107 303314214