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344442420 = 223257273367
BaseRepresentation
bin10100100001111…
…100011000110100
3220000010111011200
4110201330120310
51201134124140
654102332500
711351466210
oct2441743064
9800114150
10344442420
11167479763
129742a130
135648b6aa
1433a61940
152038c030
hex1487c634

344442420 has 72 divisors (see below), whose sum is σ = 1194071424. Its totient is φ = 78729408.

The previous prime is 344442391. The next prime is 344442437. The reversal of 344442420 is 24244443.

It is a happy number.

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, 135424 + ... + 137943.

Almost surely, 2344442420 is an apocalyptic number.

344442420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344442420 is an abundant number, since it is smaller than the sum of its proper divisors (849629004).

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

344442420 is a wasteful number, since it uses less digits than its factorization.

344442420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273389 (or 273384 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 344442420 is about 18559.1600025432. The cubic root of 344442420 is about 700.9798658309.

Adding to 344442420 its reverse (24244443), we get a palindrome (368686863).

It can be divided in two parts, 34444 and 2420, that added together give a square (36864 = 1922).

The spelling of 344442420 in words is "three hundred forty-four million, four hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 273367 546734 820101 1093468 1366835 1640202 1913569 2460303 2733670 3280404 3827138 4100505 4920606 5467340 5740707 7654276 8201010 9567845 9841212 11481414 12301515 16402020 17222121 19135690 22962828 24603030 28703535 34444242 38271380 49206060 57407070 68888484 86110605 114814140 172221210 344442420