Search a number
-
+
334513212 = 2231121012281
BaseRepresentation
bin10011111100000…
…100010000111100
3212022110000212020
4103330010100330
51141113410322
653105440140
711201213115
oct2374042074
9768400766
10334513212
11161907800
1294040050
13543c3117
14325d920c
151e57a05c
hex13f0443c

334513212 has 72 divisors (see below), whose sum is σ = 866813136. Its totient is φ = 100320000.

The previous prime is 334513177. The next prime is 334513213. The reversal of 334513212 is 212315433.

It is a super-2 number, since 2×3345132122 = 223798178005113888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334513213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145512 + ... + 147792.

Almost surely, 2334513212 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 334513212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433406568).

334513212 is an abundant number, since it is smaller than the sum of its proper divisors (532299924).

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

334513212 is a wasteful number, since it uses less digits than its factorization.

334513212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2411 (or 2398 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 334513212 is about 18289.7023485895. The cubic root of 334513212 is about 694.1783931825.

Adding to 334513212 its reverse (212315433), we get a palindrome (546828645).

It can be divided in two parts, 33451 and 3212, that added together give a palindrome (36663).

The spelling of 334513212 in words is "three hundred thirty-four million, five hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 121 132 202 242 303 363 404 484 606 726 1111 1212 1452 2222 2281 3333 4444 4562 6666 6843 9124 12221 13332 13686 24442 25091 27372 36663 48884 50182 73326 75273 100364 146652 150546 230381 276001 301092 460762 552002 691143 828003 921524 1104004 1382286 1656006 2534191 2764572 3312012 5068382 7602573 10136764 15205146 27876101 30410292 55752202 83628303 111504404 167256606 334513212