Search a number
-
+
2348205168 = 243293794451
BaseRepresentation
bin1000101111110110…
…1100010001110000
320001122120011220210
42023331230101300
514302120031133
61025002104120
7112122262131
oct21375542160
96048504823
102348205168
11aa5556331
125564ab040
132b565261a
14183c19c88
15db244763
hex8bf6c470

2348205168 has 80 divisors (see below), whose sum is σ = 6293347200. Its totient is φ = 753580800.

The previous prime is 2348205161. The next prime is 2348205169. The reversal of 2348205168 is 8615028432.

2348205168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×23482051682 = 11028135022043816448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2348205161) 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, 525343 + ... + 529793.

It is an arithmetic number, because the mean of its divisors is an integer number (78666840).

Almost surely, 22348205168 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 2348205168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3146673600).

2348205168 is an abundant number, since it is smaller than the sum of its proper divisors (3945142032).

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

2348205168 is a wasteful number, since it uses less digits than its factorization.

2348205168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4870 (or 4864 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 2348205168 is about 48458.2827595036. The cubic root of 2348205168 is about 1329.1643360714.

The spelling of 2348205168 in words is "two billion, three hundred forty-eight million, two hundred five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 379 464 696 758 1137 1392 1516 2274 3032 4451 4548 6064 8902 9096 10991 13353 17804 18192 21982 26706 32973 35608 43964 53412 65946 71216 87928 106824 129079 131892 175856 213648 258158 263784 387237 516316 527568 774474 1032632 1548948 1686929 2065264 3097896 3373858 5060787 6195792 6747716 10121574 13495432 20243148 26990864 40486296 48920941 80972592 97841882 146762823 195683764 293525646 391367528 587051292 782735056 1174102584 2348205168