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34021312 = 2613103397
BaseRepresentation
bin1000000111000…
…1111111000000
32101000110110121
42001301333000
532202140222
63213110024
7562114333
oct201617700
971013417
1034021312
1118227796
12b488314
137082470
14473861a
152ec05c7
hex2071fc0

34021312 has 56 divisors (see below), whose sum is σ = 73594976. Its totient is φ = 15510528.

The previous prime is 34021307. The next prime is 34021313. The reversal of 34021312 is 21312043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34021313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85498 + ... + 85894.

It is an arithmetic number, because the mean of its divisors is an integer number (1314196).

Almost surely, 234021312 is an apocalyptic number.

34021312 is a gapful number since it is divisible by the number (32) 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 34021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36797488).

34021312 is an abundant number, since it is smaller than the sum of its proper divisors (39573664).

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

34021312 is a wasteful number, since it uses less digits than its factorization.

34021312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 34021312 is about 5832.7790974800. The cubic root of 34021312 is about 324.0288548198.

Adding to 34021312 its reverse (21312043), we get a palindrome (55333355).

The spelling of 34021312 in words is "thirty-four million, twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 103 104 206 208 397 412 416 794 824 832 1339 1588 1648 2678 3176 3296 5161 5356 6352 6592 10322 10712 12704 20644 21424 25408 40891 41288 42848 81782 82576 85696 163564 165152 327128 330304 531583 654256 1063166 1308512 2126332 2617024 4252664 8505328 17010656 34021312