Search a number
-
+
34626550 = 25271941127
BaseRepresentation
bin1000010000010…
…1101111110110
32102011012200211
42010011233312
532331022200
63234100034
7600215020
oct204055766
972135624
1034626550
1118600492
12b71a61a
137234aaa
144855010
15308eaba
hex2105bf6

34626550 has 96 divisors (see below), whose sum is σ = 79994880. Its totient is φ = 10886400.

The previous prime is 34626547. The next prime is 34626587. The reversal of 34626550 is 5562643.

34626550 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 272587 + ... + 272713.

It is an arithmetic number, because the mean of its divisors is an integer number (833280).

Almost surely, 234626550 is an apocalyptic number.

34626550 is an abundant number, since it is smaller than the sum of its proper divisors (45368330).

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

34626550 is a wasteful number, since it uses less digits than its factorization.

34626550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 34626550 is about 5884.4328528755. The cubic root of 34626550 is about 325.9390592048.

It can be divided in two parts, 346 and 26550, that added together give a square (26896 = 1642).

The spelling of 34626550 in words is "thirty-four million, six hundred twenty-six thousand, five hundred fifty".

Divisors: 1 2 5 7 10 14 19 25 35 38 41 50 70 82 95 127 133 175 190 205 254 266 287 350 410 475 574 635 665 779 889 950 1025 1270 1330 1435 1558 1778 2050 2413 2870 3175 3325 3895 4445 4826 5207 5453 6350 6650 7175 7790 8890 10414 10906 12065 14350 16891 19475 22225 24130 26035 27265 33782 36449 38950 44450 52070 54530 60325 72898 84455 98933 120650 130175 136325 168910 182245 197866 260350 272650 364490 422275 494665 692531 844550 911225 989330 1385062 1822450 2473325 3462655 4946650 6925310 17313275 34626550