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34254300 = 22352227503
BaseRepresentation
bin1000001010101…
…0110111011100
32101110022001210
42002222313130
532232114200
63222104420
7564104523
oct202526734
971408053
1034254300
1118376843
12b57b110
137134522
1447994ba
153019650
hex20aaddc

34254300 has 72 divisors (see below), whose sum is σ = 99743616. Its totient is φ = 9076160.

The previous prime is 34254299. The next prime is 34254329. The reversal of 34254300 is 345243.

It is a happy number.

34254300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 67849 + ... + 68351.

It is an arithmetic number, because the mean of its divisors is an integer number (1385328).

Almost surely, 234254300 is an apocalyptic number.

34254300 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 34254300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49871808).

34254300 is an abundant number, since it is smaller than the sum of its proper divisors (65489316).

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

34254300 is a wasteful number, since it uses less digits than its factorization.

34254300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 34254300 is about 5852.7173176226. The cubic root of 34254300 is about 324.7668544845.

Adding to 34254300 its reverse (345243), we get a palindrome (34599543).

The spelling of 34254300 in words is "thirty-four million, two hundred fifty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 227 300 454 503 681 908 1006 1135 1362 1509 2012 2270 2515 2724 3018 3405 4540 5030 5675 6036 6810 7545 10060 11350 12575 13620 15090 17025 22700 25150 30180 34050 37725 50300 68100 75450 114181 150900 228362 342543 456724 570905 685086 1141810 1370172 1712715 2283620 2854525 3425430 5709050 6850860 8563575 11418100 17127150 34254300