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34207420 = 22513149883
BaseRepresentation
bin1000001001111…
…1011010111100
32101100220202111
42002133122330
532224114140
63221103404
7563521042
oct202373274
971326674
1034207420
11183445a5
12b557b64
1371190a0
144786392
15300a7ea
hex209f6bc

34207420 has 48 divisors (see below), whose sum is σ = 77968800. Its totient is φ = 12531456.

The previous prime is 34207409. The next prime is 34207421. The reversal of 34207420 is 2470243.

It is a junction number, because it is equal to n+sod(n) for n = 34207391 and 34207400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34207421) 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, 38299 + ... + 39181.

It is an arithmetic number, because the mean of its divisors is an integer number (1624350).

Almost surely, 234207420 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 34207420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38984400).

34207420 is an abundant number, since it is smaller than the sum of its proper divisors (43761380).

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

34207420 is a wasteful number, since it uses less digits than its factorization.

34207420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 34207420 is about 5848.7109690940. The cubic root of 34207420 is about 324.6186295800.

Adding to 34207420 its reverse (2470243), we get a palindrome (36677663).

The spelling of 34207420 in words is "thirty-four million, two hundred seven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 149 260 298 596 745 883 1490 1766 1937 2980 3532 3874 4415 7748 8830 9685 11479 17660 19370 22958 38740 45916 57395 114790 131567 229580 263134 526268 657835 1315670 1710371 2631340 3420742 6841484 8551855 17103710 34207420