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342433312 = 251317411181
BaseRepresentation
bin10100011010010…
…001111000100000
3212212100102012021
4110122101320200
51200130331222
653551311224
711325430564
oct2432217040
9785312167
10342433312
11166327241
129681b514
1355c37080
143369b6a4
15200e1ac7
hex14691e20

342433312 has 96 divisors (see below), whose sum is σ = 788148144. Its totient is φ = 144998400.

The previous prime is 342433307. The next prime is 342433327. The reversal of 342433312 is 213334243.

It can be written as a sum of positive squares in 8 ways, for example, as 142945936 + 199487376 = 11956^2 + 14124^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 289362 + ... + 290542.

Almost surely, 2342433312 is an apocalyptic number.

342433312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342433312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394074072).

342433312 is an abundant number, since it is smaller than the sum of its proper divisors (445714832).

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

342433312 is a wasteful number, since it uses less digits than its factorization.

342433312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1254 counting only the distinct ones).

The product of its digits is 5184, while the sum is 25.

The square root of 342433312 is about 18504.9537151542. The cubic root of 342433312 is about 699.6142854615.

Adding to 342433312 its reverse (213334243), we get a palindrome (555767555).

The spelling of 342433312 in words is "three hundred forty-two million, four hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 17 26 32 34 41 52 68 82 104 136 164 208 221 272 328 416 442 533 544 656 697 884 1066 1181 1312 1394 1768 2132 2362 2788 3536 4264 4724 5576 7072 8528 9061 9448 11152 15353 17056 18122 18896 20077 22304 30706 36244 37792 40154 48421 61412 72488 80308 96842 122824 144976 160616 193684 245648 261001 289952 321232 387368 491296 522002 629473 642464 774736 823157 1044004 1258946 1549472 1646314 2088008 2517892 3292628 4176016 5035784 6585256 8352032 10071568 10701041 13170512 20143136 21402082 26341024 42804164 85608328 171216656 342433312