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34268040 = 2332595189
BaseRepresentation
bin1000001010111…
…0001110001000
32101110222220200
42002232032020
532233034130
63222252200
7564162552
oct202561610
971428820
1034268040
11183860a4
12b587060
13713a861
1447a04d2
15301d760
hex20ae388

34268040 has 48 divisors (see below), whose sum is σ = 111372300. Its totient is φ = 9138048.

The previous prime is 34268027. The next prime is 34268057. The reversal of 34268040 is 4086243.

It can be written as a sum of positive squares in 2 ways, for example, as 32695524 + 1572516 = 5718^2 + 1254^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34267995 and 34268013.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47235 + ... + 47954.

Almost surely, 234268040 is an apocalyptic number.

34268040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34268040 is an abundant number, since it is smaller than the sum of its proper divisors (77104260).

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

34268040 is a wasteful number, since it uses less digits than its factorization.

34268040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95206 (or 95199 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 34268040 is about 5853.8910136763. The cubic root of 34268040 is about 324.8102719053.

The spelling of 34268040 in words is "thirty-four million, two hundred sixty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 95189 190378 285567 380756 475945 571134 761512 856701 951890 1142268 1427835 1713402 1903780 2284536 2855670 3426804 3807560 4283505 5711340 6853608 8567010 11422680 17134020 34268040