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34340420 = 22583137151
BaseRepresentation
bin1000001011111…
…1111001000100
32101121200012102
42002333321010
532242343140
63224011232
7564613562
oct202777104
971550172
1034340420
1118425514
12b600b18
13716479a
1447bca32
153034e15
hex20bfe44

34340420 has 48 divisors (see below), whose sum is σ = 74003328. Its totient is φ = 13382400.

The previous prime is 34340417. The next prime is 34340447. The reversal of 34340420 is 2404343.

It is a happy number.

34340420 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 34340392 and 34340401.

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 15 ways as a sum of consecutive naturals, for example, 227345 + ... + 227495.

It is an arithmetic number, because the mean of its divisors is an integer number (1541736).

Almost surely, 234340420 is an apocalyptic number.

It is an amenable number.

34340420 is an abundant number, since it is smaller than the sum of its proper divisors (39662908).

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

34340420 is a wasteful number, since it uses less digits than its factorization.

34340420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 34340420 is about 5860.0699654526. The cubic root of 34340420 is about 325.0387961576.

Adding to 34340420 its reverse (2404343), we get a palindrome (36744763).

The spelling of 34340420 in words is "thirty-four million, three hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 83 137 151 166 274 302 332 415 548 604 685 755 830 1370 1510 1660 2740 3020 11371 12533 20687 22742 25066 41374 45484 50132 56855 62665 82748 103435 113710 125330 206870 227420 250660 413740 1717021 3434042 6868084 8585105 17170210 34340420