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34031040 = 263535449
BaseRepresentation
bin1000000111010…
…0010111000000
32101000221210220
42001310113000
532202443130
63213223040
7562154601
oct201642700
971027726
1034031040
111823402a
12b491a80
137086a14
14473bda8
152ec3410
hex20745c0

34031040 has 56 divisors (see below), whose sum is σ = 108051600. Its totient is φ = 9074688.

The previous prime is 34031027. The next prime is 34031051. The reversal of 34031040 is 4013043.

It is a super-2 number, since 2×340310402 = 2316223366963200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16765 + ... + 18684.

Almost surely, 234031040 is an apocalyptic number.

34031040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34031040 is an abundant number, since it is smaller than the sum of its proper divisors (74020560).

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

34031040 is a wasteful number, since it uses less digits than its factorization.

34031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35469 (or 35459 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 34031040 is about 5833.6129456795. The cubic root of 34031040 is about 324.0597359756.

Adding to 34031040 its reverse (4013043), we get a palindrome (38044083).

The spelling of 34031040 in words is "thirty-four million, thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 35449 70898 106347 141796 177245 212694 283592 354490 425388 531735 567184 708980 850776 1063470 1134368 1417960 1701552 2126940 2268736 2835920 3403104 4253880 5671840 6806208 8507760 11343680 17015520 34031040