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342440224 = 25744457
BaseRepresentation
bin10100011010010…
…011100100100000
3212212100202200021
4110122103210200
51200131041344
653551403224
711325460000
oct2432234440
9785322607
10342440224
11166331455
1296823514
1355c3a269
14336a0000
15200e3b84
hex14693920

342440224 has 60 divisors (see below), whose sum is σ = 786672054. Its totient is φ = 146727168.

The previous prime is 342440221. The next prime is 342440233. The reversal of 342440224 is 422044243.

It can be written as a sum of positive squares in only one way, i.e., 264647824 + 77792400 = 16268^2 + 8820^2 .

It is not an unprimeable number, because it can be changed into a prime (342440221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 74604 + ... + 79060.

Almost surely, 2342440224 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 342440224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393336027).

342440224 is an abundant number, since it is smaller than the sum of its proper divisors (444231830).

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

342440224 is an frugal number, since it uses more digits than its factorization.

342440224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4495 (or 4466 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

The square root of 342440224 is about 18505.1404750140. The cubic root of 342440224 is about 699.6189926568.

Adding to 342440224 its reverse (422044243), we get a palindrome (764484467).

The spelling of 342440224 in words is "three hundred forty-two million, four hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 343 392 686 784 1372 1568 2401 2744 4457 4802 5488 8914 9604 10976 17828 19208 31199 35656 38416 62398 71312 76832 124796 142624 218393 249592 436786 499184 873572 998368 1528751 1747144 3057502 3494288 6115004 6988576 10701257 12230008 21402514 24460016 42805028 48920032 85610056 171220112 342440224