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34331000 = 2353113121
BaseRepresentation
bin1000001011110…
…1100101111000
32101121012021112
42002331211320
532242043000
63223455452
7564544244
oct202754570
971535245
1034331000
1118419430
12b5b7588
137160402
1447b9424
153032235
hex20bd978

34331000 has 64 divisors (see below), whose sum is σ = 87665760. Its totient is φ = 12480000.

The previous prime is 34330999. The next prime is 34331023. The reversal of 34331000 is 13343.

It is a happy number.

34331000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×343310002 = 2357235122000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9440 + ... + 12560.

Almost surely, 234331000 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 34331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43832880).

34331000 is an abundant number, since it is smaller than the sum of its proper divisors (53334760).

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

34331000 is a wasteful number, since it uses less digits than its factorization.

34331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3153 (or 3139 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 34331000 is about 5859.2661656559. The cubic root of 34331000 is about 325.0090727250.

Adding to 34331000 its reverse (13343), we get a palindrome (34344343).

The spelling of 34331000 in words is "thirty-four million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 3121 5500 6242 11000 12484 15605 24968 31210 34331 62420 68662 78025 124840 137324 156050 171655 274648 312100 343310 390125 624200 686620 780250 858275 1373240 1560500 1716550 3121000 3433100 4291375 6866200 8582750 17165500 34331000