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342434144 = 25137331123
BaseRepresentation
bin10100011010010…
…010000101100000
3212212100110100002
4110122102011200
51200130343034
653551315132
711325433163
oct2432220540
9785313302
10342434144
11166327928
129681baa8
1355c37570
143369bada
15200e1e7e
hex14692160

342434144 has 48 divisors (see below), whose sum is σ = 727664112. Its totient is φ = 157690368.

The previous prime is 342434129. The next prime is 342434161. The reversal of 342434144 is 441434243.

It is a happy number.

It is a super-2 number, since 2×3424341442 = 234522285954025472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 304367 + ... + 305489.

It is an arithmetic number, because the mean of its divisors is an integer number (15159669).

Almost surely, 2342434144 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 342434144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363832056).

342434144 is an abundant number, since it is smaller than the sum of its proper divisors (385229968).

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

342434144 is a wasteful number, since it uses less digits than its factorization.

342434144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1879 (or 1871 counting only the distinct ones).

The product of its digits is 18432, while the sum is 29.

The square root of 342434144 is about 18504.9761956075. The cubic root of 342434144 is about 699.6148520717.

Adding to 342434144 its reverse (441434243), we get a palindrome (783868387).

Subtracting 342434144 from its reverse (441434243), we obtain a palindrome (99000099).

The spelling of 342434144 in words is "three hundred forty-two million, four hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 733 1123 1466 2246 2932 4492 5864 8984 9529 11728 14599 17968 19058 23456 29198 35936 38116 58396 76232 116792 152464 233584 304928 467168 823159 1646318 3292636 6585272 10701067 13170544 21402134 26341088 42804268 85608536 171217072 342434144