Search a number
-
+
300342348 = 223219577761
BaseRepresentation
bin10001111001101…
…101110001001100
3202221010222020200
4101321231301030
51103341423343
645445213500
710304603445
oct2171556114
9687128220
10300342348
11144598719
1284701290
134a2ba887
142bc622cc
151b57a4d3
hex11e6dc4c

300342348 has 72 divisors (see below), whose sum is σ = 801593520. Its totient is φ = 94556160.

The previous prime is 300342347. The next prime is 300342373. The reversal of 300342348 is 843243003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300342347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 394288 + ... + 395048.

Almost surely, 2300342348 is an apocalyptic number.

300342348 is a gapful number since it is divisible by the number (38) 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 300342348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400796760).

300342348 is an abundant number, since it is smaller than the sum of its proper divisors (501251172).

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

300342348 is a wasteful number, since it uses less digits than its factorization.

300342348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 300342348 is about 17330.3879933486. The cubic root of 300342348 is about 669.6874966490.

The spelling of 300342348 in words is "three hundred million, three hundred forty-two thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 577 684 761 1154 1522 1731 2283 2308 3044 3462 4566 5193 6849 6924 9132 10386 10963 13698 14459 20772 21926 27396 28918 32889 43377 43852 57836 65778 86754 98667 130131 131556 173508 197334 260262 394668 439097 520524 878194 1317291 1756388 2634582 3951873 5269164 7903746 8342843 15807492 16685686 25028529 33371372 50057058 75085587 100114116 150171174 300342348