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334312204433240 = 23511243113101314033
BaseRepresentation
bin100110000000011100010000…
…0001100000111011101011000
31121211200221020100001112001102
41030000320200030013131120
5322304332343313330430
63143004523450010532
7130263155036112065
oct11400704014073530
91554627210045042
10334312204433240
11975820119a0800
12315b3b40a16a48
1311470675a80007
145c7ab23099c6c
15289b363455345
hex1300e20307758

334312204433240 has 384 divisors, whose sum is σ = 854419409363520. Its totient is φ = 117565547151360.

The previous prime is 334312204433227. The next prime is 334312204433279. The reversal of 334312204433240 is 42334402213433.

It is a super-2 number, since 2×3343122044332402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334312204433194 and 334312204433203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23823281264 + ... + 23823295296.

Almost surely, 2334312204433240 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 334312204433240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427209704681760).

334312204433240 is an abundant number, since it is smaller than the sum of its proper divisors (520107204930280).

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

334312204433240 is a wasteful number, since it uses less digits than its factorization.

334312204433240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15235 (or 15220 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 38.

Adding to 334312204433240 its reverse (42334402213433), we get a palindrome (376646606646673).

The spelling of 334312204433240 in words is "three hundred thirty-four trillion, three hundred twelve billion, two hundred four million, four hundred thirty-three thousand, two hundred forty".