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34143040 = 265234639
BaseRepresentation
bin1000001000111…
…1101101000000
32101020122110001
42002033231000
532220034130
63215445344
7563132251
oct202175500
971218401
1034143040
1118300198
12b526854
1370c59a9
14476ab28
152ee66ca
hex208fb40

34143040 has 56 divisors (see below), whose sum is σ = 84856320. Its totient is φ = 13060608.

The previous prime is 34143029. The next prime is 34143041. The reversal of 34143040 is 4034143.

It is a junction number, because it is equal to n+sod(n) for n = 34142999 and 34143017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34143041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5041 + ... + 9679.

Almost surely, 234143040 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 34143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42428160).

34143040 is an abundant number, since it is smaller than the sum of its proper divisors (50713280).

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

34143040 is a wasteful number, since it uses less digits than its factorization.

34143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4679 (or 4669 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 34143040 is about 5843.2046002172. The cubic root of 34143040 is about 324.4148524264.

Adding to 34143040 its reverse (4034143), we get a palindrome (38177183).

The spelling of 34143040 in words is "thirty-four million, one hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 736 920 1472 1840 3680 4639 7360 9278 18556 23195 37112 46390 74224 92780 106697 148448 185560 213394 296896 371120 426788 533485 742240 853576 1066970 1484480 1707152 2133940 3414304 4267880 6828608 8535760 17071520 34143040