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34035040 = 2551316363
BaseRepresentation
bin1000000111010…
…1010101100000
32101001011022001
42001311111200
532203110130
63213253344
7562202344
oct201652540
971034261
1034035040
1118237036
12b494254
1370887a0
14473d624
152ec46ca
hex2075560

34035040 has 48 divisors (see below), whose sum is σ = 86598288. Its totient is φ = 12566016.

The previous prime is 34035031. The next prime is 34035041. The reversal of 34035040 is 4053043.

It is a junction number, because it is equal to n+sod(n) for n = 34034999 and 34035017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34035041) 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, 6102 + ... + 10261.

It is an arithmetic number, because the mean of its divisors is an integer number (1804131).

Almost surely, 234035040 is an apocalyptic number.

It is an amenable number.

34035040 is an abundant number, since it is smaller than the sum of its proper divisors (52563248).

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

34035040 is a wasteful number, since it uses less digits than its factorization.

34035040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16391 (or 16383 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 34035040 is about 5833.9557763151. The cubic root of 34035040 is about 324.0724321118.

Adding to 34035040 its reverse (4053043), we get a palindrome (38088083).

The spelling of 34035040 in words is "thirty-four million, thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 16363 32726 65452 81815 130904 163630 212719 261808 327260 425438 523616 654520 850876 1063595 1309040 1701752 2127190 2618080 3403504 4254380 6807008 8508760 17017520 34035040