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34140240 = 2432547417
BaseRepresentation
bin1000001000111…
…1000001010000
32101020111121100
42002033001100
532214441430
63215424400
7563121141
oct202170120
971214540
1034140240
11182a9082
12b525100
1370c4634
144769ac8
152ee5960
hex208f050

34140240 has 60 divisors (see below), whose sum is σ = 114656724. Its totient is φ = 9103872.

The previous prime is 34140209. The next prime is 34140247. The reversal of 34140240 is 4204143.

It can be written as a sum of positive squares in 2 ways, for example, as 7884864 + 26255376 = 2808^2 + 5124^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34140247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22989 + ... + 24428.

Almost surely, 234140240 is an apocalyptic number.

34140240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34140240 is an abundant number, since it is smaller than the sum of its proper divisors (80516484).

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

34140240 is a wasteful number, since it uses less digits than its factorization.

34140240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47436 (or 47427 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 34140240 is about 5842.9650007509. The cubic root of 34140240 is about 324.4059839872.

Adding to 34140240 its reverse (4204143), we get a palindrome (38344383).

The spelling of 34140240 in words is "thirty-four million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 47417 94834 142251 189668 237085 284502 379336 426753 474170 569004 711255 758672 853506 948340 1138008 1422510 1707012 1896680 2133765 2276016 2845020 3414024 3793360 4267530 5690040 6828048 8535060 11380080 17070120 34140240