Search a number
-
+
3003758142 = 2371110760763
BaseRepresentation
bin1011001100001001…
…1011011000111110
321202100002201112120
42303002123120332
522122430230032
61214020543410
7134302344240
oct26302333076
97670081476
103003758142
1113015a7a50
126b9b51b66
1338b3cbca8
14206d04090
15128a8762c
hexb309b63e

3003758142 has 64 divisors (see below), whose sum is σ = 7560013824. Its totient is φ = 772892640.

The previous prime is 3003758141. The next prime is 3003758213. The reversal of 3003758142 is 2418573003.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3003758141) 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 31 ways as a sum of consecutive naturals, for example, 19053 + ... + 79815.

It is an arithmetic number, because the mean of its divisors is an integer number (118125216).

Almost surely, 23003758142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3003758142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3780006912).

3003758142 is an abundant number, since it is smaller than the sum of its proper divisors (4556255682).

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

3003758142 is a wasteful number, since it uses less digits than its factorization.

3003758142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60893.

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 3003758142 is about 54806.5519988258. The cubic root of 3003758142 is about 1442.8515610793.

The spelling of 3003758142 in words is "three billion, three million, seven hundred fifty-eight thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 107 154 214 231 321 462 642 749 1177 1498 2247 2354 3531 4494 7062 8239 16478 24717 49434 60763 121526 182289 364578 425341 668393 850682 1276023 1336786 2005179 2552046 4010358 4678751 6501641 9357502 13003282 14036253 19504923 28072506 39009846 45511487 71518051 91022974 136534461 143036102 214554153 273068922 429108306 500626357 1001252714 1501879071 3003758142