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34225950 = 23521120743
BaseRepresentation
bin1000001010001…
…1111100011110
32101101212011210
42002203330132
532230212300
63221325250
7563626053
oct202437436
971355153
1034225950
1118357510
12b566826
137124655
14478d02a
153011050
hex20a3f1e

34225950 has 48 divisors (see below), whose sum is σ = 92601216. Its totient is φ = 8296800.

The previous prime is 34225943. The next prime is 34225951. The reversal of 34225950 is 5952243.

34225950 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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34225951) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8722 + ... + 12021.

It is an arithmetic number, because the mean of its divisors is an integer number (1929192).

Almost surely, 234225950 is an apocalyptic number.

34225950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34225950 is an abundant number, since it is smaller than the sum of its proper divisors (58375266).

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

34225950 is a wasteful number, since it uses less digits than its factorization.

34225950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20769 (or 20764 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 34225950 is about 5850.2948643637. The cubic root of 34225950 is about 324.6772337990.

The spelling of 34225950 in words is "thirty-four million, two hundred twenty-five thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 550 825 1650 20743 41486 62229 103715 124458 207430 228173 311145 456346 518575 622290 684519 1037150 1140865 1369038 1555725 2281730 3111450 3422595 5704325 6845190 11408650 17112975 34225950