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34993212 = 22319236673
BaseRepresentation
bin1000010101111…
…1010000111100
32102211211122220
42011133100330
532424240322
63250005340
7603303012
oct205372074
972754586
1034993212
1118830a11
12b876850
137332957
14490c8b2
15311355c
hex215f43c

34993212 has 48 divisors (see below), whose sum is σ = 89698560. Its totient is φ = 10568448.

The previous prime is 34993139. The next prime is 34993237. The reversal of 34993212 is 21239943.

34993212 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 15 ways as a sum of consecutive naturals, for example, 1908 + ... + 8580.

It is an arithmetic number, because the mean of its divisors is an integer number (1868720).

Almost surely, 234993212 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 34993212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44849280).

34993212 is an abundant number, since it is smaller than the sum of its proper divisors (54705348).

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

34993212 is a wasteful number, since it uses less digits than its factorization.

34993212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6722 (or 6720 counting only the distinct ones).

The product of its digits is 11664, while the sum is 33.

The square root of 34993212 is about 5915.5060645730. The cubic root of 34993212 is about 327.0854829868.

The spelling of 34993212 in words is "thirty-four million, nine hundred ninety-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 92 114 138 228 276 437 874 1311 1748 2622 5244 6673 13346 20019 26692 40038 80076 126787 153479 253574 306958 380361 460437 507148 613916 760722 920874 1521444 1841748 2916101 5832202 8748303 11664404 17496606 34993212