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34220340 = 22335711823
BaseRepresentation
bin1000001010001…
…0100100110100
32101101120111000
42002202210310
532230022330
63221243300
7563603520
oct202424464
971346430
1034220340
1118353280
12b563530
137121c2b
14478ad80
15300e560
hex20a2934

34220340 has 192 divisors, whose sum is σ = 132894720. Its totient is φ = 7102080.

The previous prime is 34220327. The next prime is 34220341. The reversal of 34220340 is 4302243.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34220341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41169 + ... + 41991.

It is an arithmetic number, because the mean of its divisors is an integer number (692160).

Almost surely, 234220340 is an apocalyptic number.

34220340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34220340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66447360).

34220340 is an abundant number, since it is smaller than the sum of its proper divisors (98674380).

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

34220340 is a wasteful number, since it uses less digits than its factorization.

34220340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 34220340 is about 5849.8153817022. The cubic root of 34220340 is about 324.6594934703.

Adding to 34220340 its reverse (4302243), we get a palindrome (38522583).

It can be divided in two parts, 342203 and 40, that added together give a palindrome (342243).

The spelling of 34220340 in words is "thirty-four million, two hundred twenty thousand, three hundred forty".