Search a number
-
+
34231120 = 2457115557
BaseRepresentation
bin1000001010010…
…1001101010000
32101102010021021
42002211031100
532230343440
63221405224
7563650120
oct202451520
971363237
1034231120
1118360390
12b569814
137126b01
144790c80
15301284a
hex20a5350

34231120 has 80 divisors (see below), whose sum is σ = 99243648. Its totient is φ = 10667520.

The previous prime is 34231097. The next prime is 34231121. The reversal of 34231120 is 2113243.

It is a happy number.

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 (16).

It is a junction number, because it is equal to n+sod(n) for n = 34231094 and 34231103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34231121) 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, 3382 + ... + 8938.

Almost surely, 234231120 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 34231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49621824).

34231120 is an abundant number, since it is smaller than the sum of its proper divisors (65012528).

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

34231120 is a wasteful number, since it uses less digits than its factorization.

34231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5588 (or 5582 counting only the distinct ones).

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

The square root of 34231120 is about 5850.7367057491. The cubic root of 34231120 is about 324.6935810130.

Adding to 34231120 its reverse (2113243), we get a palindrome (36344363).

The spelling of 34231120 in words is "thirty-four million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 5557 6160 11114 22228 27785 38899 44456 55570 61127 77798 88912 111140 122254 155596 194495 222280 244508 305635 311192 388990 427889 444560 489016 611270 622384 777980 855778 978032 1222540 1555960 1711556 2139445 2445080 3111920 3423112 4278890 4890160 6846224 8557780 17115560 34231120