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303334434 = 232131776253
BaseRepresentation
bin10010000101001…
…000010000100010
3210010202222121200
4102011020100202
51110123200214
650033302030
710342204644
oct2205102042
9703688550
10303334434
11146251717
1285704916
134aac7740
142c400894
151b96bd09
hex12148422

303334434 has 48 divisors (see below), whose sum is σ = 749424312. Its totient is φ = 87842304.

The previous prime is 303334391. The next prime is 303334457. The reversal of 303334434 is 434433303.

It can be written as a sum of positive squares in 4 ways, for example, as 220433409 + 82901025 = 14847^2 + 9105^2 .

It is a junction number, because it is equal to n+sod(n) for n = 303334398 and 303334407.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34149 + ... + 42104.

Almost surely, 2303334434 is an apocalyptic number.

303334434 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

303334434 is an abundant number, since it is smaller than the sum of its proper divisors (446089878).

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

303334434 is a wasteful number, since it uses less digits than its factorization.

303334434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76291 (or 76288 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

The square root of 303334434 is about 17416.4989019033. The cubic root of 303334434 is about 671.9040174351.

Adding to 303334434 its reverse (434433303), we get a palindrome (737767737).

The spelling of 303334434 in words is "three hundred three million, three hundred thirty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 442 663 1326 1989 3978 76253 152506 228759 457518 686277 991289 1296301 1372554 1982578 2592602 2973867 3888903 5947734 7777806 8921601 11666709 16851913 17843202 23333418 33703826 50555739 101111478 151667217 303334434