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34011450 = 23252116871
BaseRepresentation
bin1000000110111…
…1100100111010
32100222221221100
42001233210322
532201331300
63212552230
7562043514
oct201574472
970887840
1034011450
1118220340
12b482676
13707ab25
144734bb4
152ebc700
hex206f93a

34011450 has 72 divisors (see below), whose sum is σ = 99698976. Its totient is φ = 8244000.

The previous prime is 34011449. The next prime is 34011451. The reversal of 34011450 is 5411043.

It is a happy number.

34011450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34011449) and next prime (34011451).

It is a super-2 number, since 2×340114502 = 2313557462205000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (34011451) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1515 + ... + 8385.

It is an arithmetic number, because the mean of its divisors is an integer number (1384708).

Almost surely, 234011450 is an apocalyptic number.

34011450 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 34011450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49849488).

34011450 is an abundant number, since it is smaller than the sum of its proper divisors (65687526).

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

34011450 is a wasteful number, since it uses less digits than its factorization.

34011450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6900 (or 6892 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 34011450 is about 5831.9336415978. The cubic root of 34011450 is about 323.9975422767.

Adding to 34011450 its reverse (5411043), we get a palindrome (39422493).

It can be divided in two parts, 3401 and 1450, that added together give a triangular number (4851 = T98).

The spelling of 34011450 in words is "thirty-four million, eleven thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 198 225 275 330 450 495 550 825 990 1650 2475 4950 6871 13742 20613 34355 41226 61839 68710 75581 103065 123678 151162 171775 206130 226743 309195 343550 377905 453486 515325 618390 680229 755810 1030650 1133715 1360458 1545975 1889525 2267430 3091950 3401145 3779050 5668575 6802290 11337150 17005725 34011450