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34073780 = 22513217593
BaseRepresentation
bin1000000111111…
…0110010110100
32101010010102212
42001332302310
532210330110
63214152552
7562423316
oct201766264
971103385
1034073780
1118263154
12b4b2758
1370a0300
14474d7b6
152ed0e05
hex207ecb4

34073780 has 72 divisors (see below), whose sum is σ = 82178712. Its totient is φ = 11821056.

The previous prime is 34073777. The next prime is 34073789. The reversal of 34073780 is 8737043.

34073780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 12432676 + 21641104 = 3526^2 + 4652^2 .

It is a super-2 number, since 2×340737802 = 2322044966976800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34073789) 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 23 ways as a sum of consecutive naturals, for example, 57164 + ... + 57756.

It is an arithmetic number, because the mean of its divisors is an integer number (1141371).

Almost surely, 234073780 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 34073780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41089356).

34073780 is an abundant number, since it is smaller than the sum of its proper divisors (48104932).

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

34073780 is a wasteful number, since it uses less digits than its factorization.

34073780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 34073780 is about 5837.2750491989. The cubic root of 34073780 is about 324.1953427520.

The spelling of 34073780 in words is "thirty-four million, seventy-three thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 169 170 221 260 338 340 442 593 676 845 884 1105 1186 1690 2210 2372 2873 2965 3380 4420 5746 5930 7709 10081 11492 11860 14365 15418 20162 28730 30836 38545 40324 50405 57460 77090 100217 100810 131053 154180 200434 201620 262106 400868 501085 524212 655265 1002170 1310530 1703689 2004340 2621060 3407378 6814756 8518445 17036890 34073780