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34950064 = 2423731301
BaseRepresentation
bin1000010101010…
…0101110110000
32102202122110211
42011110232300
532421400224
63245033504
7603033142
oct205245660
972678424
1034950064
1118801556
12b855894
137319116
1448dac92
153105894
hex2154bb0

34950064 has 40 divisors (see below), whose sum is σ = 71682912. Its totient is φ = 16473600.

The previous prime is 34950059. The next prime is 34950067. The reversal of 34950064 is 46005943.

It is not an unprimeable number, because it can be changed into a prime (34950067) 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, 26214 + ... + 27514.

Almost surely, 234950064 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 34950064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35841456).

34950064 is an abundant number, since it is smaller than the sum of its proper divisors (36732848).

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

34950064 is a wasteful number, since it uses less digits than its factorization.

34950064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 34950064 is about 5911.8579143954. The cubic root of 34950064 is about 326.9509912930.

The spelling of 34950064 in words is "thirty-four million, nine hundred fifty thousand, sixty-four".

Divisors: 1 2 4 8 16 23 46 73 92 146 184 292 368 584 1168 1301 1679 2602 3358 5204 6716 10408 13432 20816 26864 29923 59846 94973 119692 189946 239384 379892 478768 759784 1519568 2184379 4368758 8737516 17475032 34950064