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34022730 = 2357198527
BaseRepresentation
bin1000000111001…
…0010101001010
32101000112102010
42001302111022
532202211410
63213120350
7562121430
oct201622512
971015363
1034022730
1118228865
12b4890b6
137082cc1
144738d50
152ec0c20
hex207254a

34022730 has 64 divisors (see below), whose sum is σ = 98242560. Its totient is φ = 7366464.

The previous prime is 34022707. The next prime is 34022731. The reversal of 34022730 is 3722043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 34022697 and 34022706.

It is not an unprimeable number, because it can be changed into a prime (34022731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274 + ... + 8253.

It is an arithmetic number, because the mean of its divisors is an integer number (1535040).

Almost surely, 234022730 is an apocalyptic number.

34022730 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34022730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49121280).

34022730 is an abundant number, since it is smaller than the sum of its proper divisors (64219830).

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

34022730 is a wasteful number, since it uses less digits than its factorization.

34022730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8563.

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 34022730 is about 5832.9006506197. The cubic root of 34022730 is about 324.0333565718.

Adding to 34022730 its reverse (3722043), we get a palindrome (37744773).

The spelling of 34022730 in words is "thirty-four million, twenty-two thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 190 210 266 285 399 570 665 798 1330 1995 3990 8527 17054 25581 42635 51162 59689 85270 119378 127905 162013 179067 255810 298445 324026 358134 486039 596890 810065 895335 972078 1134091 1620130 1790670 2268182 2430195 3402273 4860390 5670455 6804546 11340910 17011365 34022730