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34143252 = 2231113101197
BaseRepresentation
bin1000001000111…
…1110000010100
32101020122201220
42002033300110
532220041002
63215450340
7563133003
oct202176024
971218656
1034143252
1118300370
12b5269b0
1370c5b10
14476ac3a
152ee67bc
hex208fc14

34143252 has 96 divisors (see below), whose sum is σ = 95001984. Its totient is φ = 9408000.

The previous prime is 34143251. The next prime is 34143253. The reversal of 34143252 is 25234143.

It is an interprime number because it is at equal distance from previous prime (34143251) and next prime (34143253).

It is a super-3 number, since 3×341432523 (a number of 24 digits) contains 333 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34143251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173218 + ... + 173414.

It is an arithmetic number, because the mean of its divisors is an integer number (989604).

Almost surely, 234143252 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 34143252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47500992).

34143252 is an abundant number, since it is smaller than the sum of its proper divisors (60858732).

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

34143252 is a wasteful number, since it uses less digits than its factorization.

34143252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 327 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 34143252 is about 5843.2227409196. Note that the first 3 decimals coincide. The cubic root of 34143252 is about 324.4155238742.

Adding to 34143252 its reverse (25234143), we get a palindrome (59377395).

It can be divided in two parts, 3414 and 3252, that added together give a palindrome (6666).

The spelling of 34143252 in words is "thirty-four million, one hundred forty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 101 132 143 156 197 202 286 303 394 404 429 572 591 606 788 858 1111 1182 1212 1313 1716 2167 2222 2364 2561 2626 3333 3939 4334 4444 5122 5252 6501 6666 7683 7878 8668 10244 13002 13332 14443 15366 15756 19897 26004 28171 28886 30732 39794 43329 56342 57772 59691 79588 84513 86658 112684 119382 169026 173316 218867 238764 258661 338052 437734 517322 656601 775983 875468 1034644 1313202 1551966 2626404 2845271 3103932 5690542 8535813 11381084 17071626 34143252