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334144434 = 231322291439
BaseRepresentation
bin10011111010101…
…010001110110010
3212021202021222210
4103322222032302
51141020110214
653053512550
711165116011
oct2372521662
9767667883
10334144434
11161685728
1293aa2756
13542c4300
1432540a78
151e505b59
hex13eaa3b2

334144434 has 48 divisors (see below), whose sum is σ = 727315200. Its totient is φ = 102293568.

The previous prime is 334144429. The next prime is 334144439. The reversal of 334144434 is 434441433.

It is an interprime number because it is at equal distance from previous prime (334144429) and next prime (334144439).

It is a super-2 number, since 2×3341444342 = 223305005546360712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334144439) 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, 231487 + ... + 232925.

It is an arithmetic number, because the mean of its divisors is an integer number (15152400).

Almost surely, 2334144434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334144434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363657600).

334144434 is an abundant number, since it is smaller than the sum of its proper divisors (393170766).

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

334144434 is a wasteful number, since it uses less digits than its factorization.

334144434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1699 (or 1686 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

The square root of 334144434 is about 18279.6179938203. The cubic root of 334144434 is about 693.9232046067.

Adding to 334144434 its reverse (434441433), we get a palindrome (768585867).

The spelling of 334144434 in words is "three hundred thirty-four million, one hundred forty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 78 169 229 338 458 507 687 1014 1374 1439 2878 2977 4317 5954 8634 8931 17862 18707 37414 38701 56121 77402 112242 116103 232206 243191 329531 486382 659062 729573 988593 1459146 1977186 4283903 8567806 12851709 25703418 55690739 111381478 167072217 334144434