Search a number
-
+
334324817328208 = 24729538573117911
BaseRepresentation
bin100110000000100010000111…
…1111110011111100001010000
31121211202010210100102222020111
41030001010033332133201100
5322310034211214000313
63143014411212051104
7130264112432002450
oct11401041776374120
91554663710388214
10334324817328208
11975873a4608443
12315b6480a63a94
1311471905ba6885
145c7b59c259d60
15289b8508de43d
hex130110ff9f850

334324817328208 has 80 divisors (see below), whose sum is σ = 740634019888896. Its totient is φ = 143215621585920.

The previous prime is 334324817328181. The next prime is 334324817328209. The reversal of 334324817328208 is 802823718423433.

It is a super-2 number, since 2×3343248173282082 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334324817328209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2835340773 + ... + 2835458683.

Almost surely, 2334324817328208 is an apocalyptic number.

It is an amenable number.

334324817328208 is an abundant number, since it is smaller than the sum of its proper divisors (406309202560688).

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

334324817328208 is a wasteful number, since it uses less digits than its factorization.

334324817328208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129452 (or 129446 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 58.

The spelling of 334324817328208 in words is "three hundred thirty-four trillion, three hundred twenty-four billion, eight hundred seventeen million, three hundred twenty-eight thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 2953 5906 8573 11812 17146 20671 23624 34292 41342 47248 60011 68584 82684 117911 120022 137168 165368 235822 240044 330736 471644 480088 825377 943288 960176 1650754 1886576 3301508 6603016 13206032 25316069 50632138 101264276 177212483 202528552 348191183 354424966 405057104 696382366 708849932 1010851003 1392764732 1417699864 2021702006 2437338281 2785529464 2835399728 4043404012 4874676562 5571058928 7075957021 8086808024 9749353124 14151914042 16173616048 19498706248 28303828084 38997412496 56607656168 113215312336 2985043011859 5970086023718 11940172047436 20895301083013 23880344094872 41790602166026 47760688189744 83581204332052 167162408664104 334324817328208