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34040240 = 2451371461
BaseRepresentation
bin1000000111011…
…0100110110000
32101001102102122
42001312212300
532203241430
63213333412
7562223453
oct201664660
971042378
1034040240
111823aa33
12b497268
13708ac70
14474149a
152ec5ee5
hex20769b0

34040240 has 80 divisors (see below), whose sum is σ = 86619456. Its totient is φ = 12364800.

The previous prime is 34040213. The next prime is 34040243. The reversal of 34040240 is 4204043.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (34040243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73610 + ... + 74070.

Almost surely, 234040240 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 34040240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43309728).

34040240 is an abundant number, since it is smaller than the sum of its proper divisors (52579216).

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

34040240 is a wasteful number, since it uses less digits than its factorization.

34040240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 34040240 is about 5834.4014260248. The cubic root of 34040240 is about 324.0889356019.

Adding to 34040240 its reverse (4204043), we get a palindrome (38244283).

The spelling of 34040240 in words is "thirty-four million, forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 71 80 104 130 142 208 260 284 355 461 520 568 710 922 923 1040 1136 1420 1844 1846 2305 2840 3688 3692 4610 4615 5680 5993 7376 7384 9220 9230 11986 14768 18440 18460 23972 29965 32731 36880 36920 47944 59930 65462 73840 95888 119860 130924 163655 239720 261848 327310 425503 479440 523696 654620 851006 1309240 1702012 2127515 2618480 3404024 4255030 6808048 8510060 17020120 34040240