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34780725 = 3352717433
BaseRepresentation
bin1000010010101…
…1011000110101
32102110001012000
42010223120311
532400440400
63241245513
7601426350
oct204533065
972401160
1034780725
11186a6301
12b793899
13728a015
144895297
1530c0600
hex212b635

34780725 has 96 divisors (see below), whose sum is σ = 77495040. Its totient is φ = 14929920.

The previous prime is 34780721. The next prime is 34780747. The reversal of 34780725 is 52708743.

It is not a de Polignac number, because 34780725 - 22 = 34780721 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34780725.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34780721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80109 + ... + 80541.

It is an arithmetic number, because the mean of its divisors is an integer number (807240).

Almost surely, 234780725 is an apocalyptic number.

34780725 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34780725 is an abundant number, since it is smaller than the sum of its proper divisors (42714315).

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

34780725 is a wasteful number, since it uses less digits than its factorization.

34780725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 34780725 is about 5897.5185459649. The cubic root of 34780725 is about 326.4220917952.

The spelling of 34780725 in words is "thirty-four million, seven hundred eighty thousand, seven hundred twenty-five".

Divisors: 1 3 5 7 9 15 17 21 25 27 35 45 51 63 75 85 105 119 135 153 175 189 225 255 315 357 425 433 459 525 595 675 765 945 1071 1275 1299 1575 1785 2165 2295 2975 3031 3213 3825 3897 4725 5355 6495 7361 8925 9093 10825 11475 11691 15155 16065 19485 22083 26775 27279 32475 36805 45465 51527 58455 66249 75775 80325 81837 97425 110415 136395 154581 184025 198747 227325 257635 292275 331245 409185 463743 552075 681975 772905 993735 1288175 1391229 1656225 2045925 2318715 3864525 4968675 6956145 11593575 34780725