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34082244 = 2232721392
BaseRepresentation
bin1000001000000…
…0110111000100
32101010120001100
42002000313010
532211112434
63214300100
7562460100
oct202006704
971116040
1034082244
1118269549
12b4b7630
1370a4111
144752900
152ed3699
hex2080dc4

34082244 has 81 divisors (see below), whose sum is σ = 100944207. Its totient is φ = 9667728.

The previous prime is 34082227. The next prime is 34082249. The reversal of 34082244 is 44228043.

It is a happy number.

The square root of 34082244 is 5838.

It is a perfect power (a square), and thus also a powerful number.

34082244 is a `hidden beast` number, since 340 + 82 + 244 = 666.

It is not an unprimeable number, because it can be changed into a prime (34082249) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 245127 + ... + 245265.

Almost surely, 234082244 is an apocalyptic number.

34082244 is the 5838-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34082244

34082244 is an abundant number, since it is smaller than the sum of its proper divisors (66861963).

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

34082244 is a wasteful number, since it uses less digits than its factorization.

34082244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The cubic root of 34082244 is about 324.2221841357. Note that the first 3 decimals are identical.

The spelling of 34082244 in words is "thirty-four million, eighty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 139 147 196 252 278 294 417 441 556 588 834 882 973 1251 1668 1764 1946 2502 2919 3892 5004 5838 6811 8757 11676 13622 17514 19321 20433 27244 35028 38642 40866 57963 61299 77284 81732 115926 122598 135247 173889 231852 245196 270494 347778 405741 540988 695556 811482 946729 1217223 1622964 1893458 2434446 2840187 3786916 4868892 5680374 8520561 11360748 17041122 34082244