Search a number
-
+
3350748512 = 25438329339
BaseRepresentation
bin1100011110111000…
…0101110101100000
322122112000122211202
43013232011311200
523330242423022
61312254100332
7146014615046
oct30756056540
98575018752
103350748512
11146a456a51
127961aa6a8
13415270337
1423b02a396
15149279592
hexc7b85d60

3350748512 has 48 divisors (see below), whose sum is σ = 6831760320. Its totient is φ = 1616641152.

The previous prime is 3350748497. The next prime is 3350748547. The reversal of 3350748512 is 2158470533.

3350748512 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 2×33507485122 = 22455031181340428288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99539 + ... + 128877.

It is an arithmetic number, because the mean of its divisors is an integer number (142328340).

Almost surely, 23350748512 is an apocalyptic number.

3350748512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3350748512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3415880160).

3350748512 is an abundant number, since it is smaller than the sum of its proper divisors (3481011808).

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

3350748512 is a wasteful number, since it uses less digits than its factorization.

3350748512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29475 (or 29467 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The square root of 3350748512 is about 57885.6503116273. The cubic root of 3350748512 is about 1496.3985469071.

The spelling of 3350748512 in words is "three billion, three hundred fifty million, seven hundred forty-eight thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 43 83 86 166 172 332 344 664 688 1328 1376 2656 3569 7138 14276 28552 29339 57104 58678 114208 117356 234712 469424 938848 1261577 2435137 2523154 4870274 5046308 9740548 10092616 19481096 20185232 38962192 40370464 77924384 104710891 209421782 418843564 837687128 1675374256 3350748512