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34034040 = 2333531513
BaseRepresentation
bin1000000111010…
…1000101111000
32101001002221000
42001311011320
532203042130
63213245000
7562166415
oct201650570
971032830
1034034040
1118236307
12b493760
1370881b1
14473d10c
152ec4260
hex2075178

34034040 has 64 divisors (see below), whose sum is σ = 113450400. Its totient is φ = 9075456.

The previous prime is 34033991. The next prime is 34034047. The reversal of 34034040 is 4043043.

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 (34034047) 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, 14677 + ... + 16836.

Almost surely, 234034040 is an apocalyptic number.

34034040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34034040 is an abundant number, since it is smaller than the sum of its proper divisors (79416360).

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

34034040 is a wasteful number, since it uses less digits than its factorization.

34034040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31533 (or 31523 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 34034040 is about 5833.8700705449. The cubic root of 34034040 is about 324.0692581710.

Adding to 34034040 its reverse (4043043), we get a palindrome (38077083).

The spelling of 34034040 in words is "thirty-four million, thirty-four thousand, forty", and thus it is an eban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 31513 63026 94539 126052 157565 189078 252104 283617 315130 378156 472695 567234 630260 756312 850851 945390 1134468 1260520 1418085 1701702 1890780 2268936 2836170 3403404 3781560 4254255 5672340 6806808 8508510 11344680 17017020 34034040