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34225420 = 22517432341
BaseRepresentation
bin1000001010001…
…1110100001100
32101101211110011
42002203310030
532230203140
63221323004
7563624365
oct202436414
971354404
1034225420
1118357079
12b566464
137124338
14478cb6c
153010cea
hex20a3d0c

34225420 has 48 divisors (see below), whose sum is σ = 77904288. Its totient is φ = 12579840.

The previous prime is 34225417. The next prime is 34225421. The reversal of 34225420 is 2452243.

It is a super-3 number, since 3×342254203 (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34225391 and 34225400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34225421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13450 + ... + 15790.

It is an arithmetic number, because the mean of its divisors is an integer number (1623006).

Almost surely, 234225420 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 34225420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38952144).

34225420 is an abundant number, since it is smaller than the sum of its proper divisors (43678868).

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

34225420 is a wasteful number, since it uses less digits than its factorization.

34225420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2410 (or 2408 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 34225420 is about 5850.2495673262. The cubic root of 34225420 is about 324.6755578794.

Adding to 34225420 its reverse (2452243), we get a palindrome (36677663).

The spelling of 34225420 in words is "thirty-four million, two hundred twenty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 43 68 85 86 170 172 215 340 430 731 860 1462 2341 2924 3655 4682 7310 9364 11705 14620 23410 39797 46820 79594 100663 159188 198985 201326 397970 402652 503315 795940 1006630 1711271 2013260 3422542 6845084 8556355 17112710 34225420