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34027320 = 23352331217
BaseRepresentation
bin1000000111001…
…1011100111000
32101000202201010
42001303130320
532202333240
63213153520
7562141005
oct201633470
971022633
1034027320
1118231258
12b48b8a0
137085112
14473a8ac
152ec2280
hex2073738

34027320 has 64 divisors (see below), whose sum is σ = 102604320. Its totient is φ = 9027584.

The previous prime is 34027313. The next prime is 34027321. The reversal of 34027320 is 2372043.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34027321) 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, 27352 + ... + 28568.

Almost surely, 234027320 is an apocalyptic number.

34027320 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 34027320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51302160).

34027320 is an abundant number, since it is smaller than the sum of its proper divisors (68577000).

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

34027320 is a wasteful number, since it uses less digits than its factorization.

34027320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464 (or 1460 counting only the distinct ones).

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

The square root of 34027320 is about 5833.2940951061. The cubic root of 34027320 is about 324.0479276760.

Adding to 34027320 its reverse (2372043), we get a palindrome (36399363).

The spelling of 34027320 in words is "thirty-four million, twenty-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 233 466 699 932 1165 1217 1398 1864 2330 2434 2796 3495 3651 4660 4868 5592 6085 6990 7302 9320 9736 12170 13980 14604 18255 24340 27960 29208 36510 48680 73020 146040 283561 567122 850683 1134244 1417805 1701366 2268488 2835610 3402732 4253415 5671220 6805464 8506830 11342440 17013660 34027320