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34030640 = 245767907
BaseRepresentation
bin1000000111010…
…0010000110000
32101000221021002
42001310100300
532202440030
63213221132
7562153460
oct201642060
971027232
1034030640
11182337a6
12b4917a8
137086797
14473bba0
152ec3245
hex2074430

34030640 has 80 divisors (see below), whose sum is σ = 91875072. Its totient is φ = 11480832.

The previous prime is 34030631. The next prime is 34030649. The reversal of 34030640 is 4603043.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34030631) and next prime (34030649).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (34030649) 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, 37067 + ... + 37973.

Almost surely, 234030640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34030640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45937536).

34030640 is an abundant number, since it is smaller than the sum of its proper divisors (57844432).

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

34030640 is a wasteful number, since it uses less digits than its factorization.

34030640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 34030640 is about 5833.5786615079. The cubic root of 34030640 is about 324.0584663072.

Adding to 34030640 its reverse (4603043), we get a palindrome (38633683).

The spelling of 34030640 in words is "thirty-four million, thirty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 67 70 80 112 134 140 268 280 335 469 536 560 670 907 938 1072 1340 1814 1876 2345 2680 3628 3752 4535 4690 5360 6349 7256 7504 9070 9380 12698 14512 18140 18760 25396 31745 36280 37520 50792 60769 63490 72560 101584 121538 126980 243076 253960 303845 425383 486152 507920 607690 850766 972304 1215380 1701532 2126915 2430760 3403064 4253830 4861520 6806128 8507660 17015320 34030640