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34143032 = 23711431289
BaseRepresentation
bin1000001000111…
…1101100111000
32101020122102202
42002033230320
532220034112
63215445332
7563132240
oct202175470
971218382
1034143032
1118300190
12b526848
1370c59a1
14476ab20
152ee66c2
hex208fb38

34143032 has 64 divisors (see below), whose sum is σ = 81734400. Its totient is φ = 12983040.

The previous prime is 34143029. The next prime is 34143041. The reversal of 34143032 is 23034143.

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

It is a junction number, because it is equal to n+sod(n) for n = 34142995 and 34143013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25844 + ... + 27132.

It is an arithmetic number, because the mean of its divisors is an integer number (1277100).

Almost surely, 234143032 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 34143032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40867200).

34143032 is an abundant number, since it is smaller than the sum of its proper divisors (47591368).

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

34143032 is a wasteful number, since it uses less digits than its factorization.

34143032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 34143032 is about 5843.2039156613. The cubic root of 34143032 is about 324.4148270887.

Adding to 34143032 its reverse (23034143), we get a palindrome (57177175).

Subtracting from 34143032 its reverse (23034143), we obtain a square (11108889 = 33332).

It can be divided in two parts, 3414 and 3032, that added together give a palindrome (6446).

The spelling of 34143032 in words is "thirty-four million, one hundred forty-three thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 43 44 56 77 86 88 154 172 301 308 344 473 602 616 946 1204 1289 1892 2408 2578 3311 3784 5156 6622 9023 10312 13244 14179 18046 26488 28358 36092 55427 56716 72184 99253 110854 113432 198506 221708 387989 397012 443416 609697 775978 794024 1219394 1551956 2438788 3103912 4267879 4877576 8535758 17071516 34143032