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12434292 = 2232131632
BaseRepresentation
bin101111011011…
…101101110100
3212101201122100
4233123231310
511140344132
61122302100
7210455403
oct57335564
925351570
1012434292
117023082
1241b7930
132764890
14191963a
15115937c
hexbdbb74

12434292 has 54 divisors (see below), whose sum is σ = 34057842. Its totient is φ = 3802464.

The previous prime is 12434287. The next prime is 12434297. The reversal of 12434292 is 29243421.

It is an interprime number because it is at equal distance from previous prime (12434287) and next prime (12434297).

It can be written as a sum of positive squares in only one way, i.e., 8608356 + 3825936 = 2934^2 + 1956^2 .

It is a super-2 number, since 2×124342922 = 309223235082528, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12434297) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 76203 + ... + 76365.

Almost surely, 212434292 is an apocalyptic number.

12434292 is a gapful number since it is divisible by the number (12) 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 12434292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17028921).

12434292 is an abundant number, since it is smaller than the sum of its proper divisors (21623550).

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

12434292 is a wasteful number, since it uses less digits than its factorization.

12434292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 181 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 12434292 is about 3526.2291474038. The cubic root of 12434292 is about 231.6720743581.

The spelling of 12434292 in words is "twelve million, four hundred thirty-four thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 163 234 326 468 489 652 978 1467 1956 2119 2934 4238 5868 6357 8476 12714 19071 25428 26569 38142 53138 76284 79707 106276 159414 239121 318828 345397 478242 690794 956484 1036191 1381588 2072382 3108573 4144764 6217146 12434292