Search a number
-
+
334361764 = 2211232911393
BaseRepresentation
bin10011111011011…
…111010010100100
3212022011100010001
4103323133102210
51141044034024
653102311044
711200012432
oct2373372244
9768140101
10334361764
11161813a40
1293b88484
135436c1c9
1432599d52
151e54a244
hex13edf4a4

334361764 has 48 divisors (see below), whose sum is σ = 689109120. Its totient is φ = 140349440.

The previous prime is 334361761. The next prime is 334361777. The reversal of 334361764 is 467163433.

It is a super-2 number, since 2×3343617642 = 223595578450383392, which contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (334361761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23652 + ... + 35044.

It is an arithmetic number, because the mean of its divisors is an integer number (14356440).

Almost surely, 2334361764 is an apocalyptic number.

It is an amenable number.

334361764 is an abundant number, since it is smaller than the sum of its proper divisors (354747356).

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

334361764 is a wasteful number, since it uses less digits than its factorization.

334361764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11460 (or 11458 counting only the distinct ones).

The product of its digits is 108864, while the sum is 37.

The square root of 334361764 is about 18285.5616265949. The cubic root of 334361764 is about 694.0736162555.

The spelling of 334361764 in words is "three hundred thirty-four million, three hundred sixty-one thousand, seven hundred sixty-four".

Divisors: 1 2 4 11 22 23 29 44 46 58 92 116 253 319 506 638 667 1012 1276 1334 2668 7337 11393 14674 22786 29348 45572 125323 250646 262039 330397 501292 524078 660794 1048156 1321588 2882429 3634367 5764858 7268734 7599131 11529716 14537468 15198262 30396524 83590441 167180882 334361764