Search a number
-
+
342303444 = 223274728901
BaseRepresentation
bin10100011001110…
…010001011010100
3212212002211001100
4110121302023110
51200112202234
653544430100
711324350140
oct2431621324
9785084040
10342303444
1116624870a
1296778330
1355bbcc22
1433666220
15200b8399
hex146722d4

342303444 has 72 divisors (see below), whose sum is σ = 1009951488. Its totient is φ = 95716800.

The previous prime is 342303433. The next prime is 342303461. The reversal of 342303444 is 444303243.

342303444 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3423034442 = 234343295548522272, which contains 22 as substring.

It is a zygodrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2607 + ... + 26294.

It is an arithmetic number, because the mean of its divisors is an integer number (14027104).

Almost surely, 2342303444 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 342303444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504975744).

342303444 is an abundant number, since it is smaller than the sum of its proper divisors (667648044).

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

342303444 is a wasteful number, since it uses less digits than its factorization.

342303444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28965 (or 28960 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 342303444 is about 18501.4443760480. Note that the first 3 decimals coincide. The cubic root of 342303444 is about 699.5258312592.

Adding to 342303444 its reverse (444303243), we get a palindrome (786606687).

The spelling of 342303444 in words is "three hundred forty-two million, three hundred three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 84 94 126 141 188 252 282 329 423 564 658 846 987 1316 1692 1974 2961 3948 5922 11844 28901 57802 86703 115604 173406 202307 260109 346812 404614 520218 606921 809228 1040436 1213842 1358347 1820763 2427684 2716694 3641526 4075041 5433388 7283052 8150082 9508429 12225123 16300164 19016858 24450246 28525287 38033716 48900492 57050574 85575861 114101148 171151722 342303444