Search a number
-
+
342133024 = 2517628921
BaseRepresentation
bin10100011001001…
…000100100100000
3212211210011021111
4110121020210200
51200041224044
653541033104
711323040242
oct2431104440
9784704244
10342133024
11166141672
12966b5794
1355b6049c
1433620092
1520082b34
hex14648920

342133024 has 24 divisors (see below), whose sum is σ = 713197548. Its totient is φ = 161003520.

The previous prime is 342133013. The next prime is 342133031. The reversal of 342133024 is 420331243.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 280227600 + 61905424 = 16740^2 + 7868^2 .

It is a super-2 number, since 2×3421330242 = 234110012222769152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 342132986 and 342133004.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 313917 + ... + 315004.

Almost surely, 2342133024 is an apocalyptic number.

342133024 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

342133024 is an abundant number, since it is smaller than the sum of its proper divisors (371064524).

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

342133024 is a wasteful number, since it uses less digits than its factorization.

342133024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628948 (or 628940 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 342133024 is about 18496.8382163006. The cubic root of 342133024 is about 699.4097227950.

Adding to 342133024 its reverse (420331243), we get a palindrome (762464267).

The spelling of 342133024 in words is "three hundred forty-two million, one hundred thirty-three thousand, twenty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 628921 1257842 2515684 5031368 10062736 10691657 20125472 21383314 42766628 85533256 171066512 342133024