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34256250 = 23355729
BaseRepresentation
bin1000001010101…
…1010101111010
32101110101202000
42002223111322
532232200000
63222121430
7564113310
oct202532572
971411660
1034256250
1118378256
12b580276
137135392
14479a0b0
15301a000
hex20ab57a

34256250 has 192 divisors, whose sum is σ = 112492800. Its totient is φ = 7560000.

The previous prime is 34256239. The next prime is 34256267. The reversal of 34256250 is 5265243.

34256250 is a `hidden beast` number, since 34 + 2 + 5 + 625 + 0 = 666.

34256250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

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 95 ways as a sum of consecutive naturals, for example, 1181236 + ... + 1181264.

It is an arithmetic number, because the mean of its divisors is an integer number (585900).

Almost surely, 234256250 is an apocalyptic number.

34256250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34256250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56246400).

34256250 is an abundant number, since it is smaller than the sum of its proper divisors (78236550).

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

34256250 is an equidigital number, since it uses as much as digits as its factorization.

34256250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 34256250 is about 5852.8839045380. The cubic root of 34256250 is about 324.7730170524.

The spelling of 34256250 in words is "thirty-four million, two hundred fifty-six thousand, two hundred fifty".