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34850656 = 2541101263
BaseRepresentation
bin1000010011110…
…0011101100000
32102120121010001
42010330131200
532410210111
63242545344
7602140261
oct204743540
972517101
1034850656
11187438a5
12b808254
1372b2ab9
1448b2968
1530d61c1
hex213c760

34850656 has 48 divisors (see below), whose sum is σ = 71251488. Its totient is φ = 16768000.

The previous prime is 34850639. The next prime is 34850657. The reversal of 34850656 is 65605843.

It is a super-3 number, since 3×348506563 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34850657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132381 + ... + 132643.

It is an arithmetic number, because the mean of its divisors is an integer number (1484406).

Almost surely, 234850656 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 34850656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35625744).

34850656 is an abundant number, since it is smaller than the sum of its proper divisors (36400832).

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

34850656 is a wasteful number, since it uses less digits than its factorization.

34850656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 34850656 is about 5903.4444183036. Note that the first 4 decimals coincide. The cubic root of 34850656 is about 326.6407161578.

The spelling of 34850656 in words is "thirty-four million, eight hundred fifty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 41 82 101 164 202 263 328 404 526 656 808 1052 1312 1616 2104 3232 4141 4208 8282 8416 10783 16564 21566 26563 33128 43132 53126 66256 86264 106252 132512 172528 212504 345056 425008 850016 1089083 2178166 4356332 8712664 17425328 34850656