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34386012 = 223323109127
BaseRepresentation
bin1000001100101…
…1000001011100
32101200222202000
42003023001130
532300323022
63225002300
7565163523
oct203130134
971628660
1034386012
11184567a1
12b623390
13717c46b
1447d14ba
1530436ac
hex20cb05c

34386012 has 96 divisors (see below), whose sum is σ = 94617600. Its totient is φ = 10777536.

The previous prime is 34386007. The next prime is 34386031. The reversal of 34386012 is 21068343.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270693 + ... + 270819.

It is an arithmetic number, because the mean of its divisors is an integer number (985600).

Almost surely, 234386012 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 34386012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47308800).

34386012 is an abundant number, since it is smaller than the sum of its proper divisors (60231588).

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

34386012 is a wasteful number, since it uses less digits than its factorization.

34386012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 34386012 is about 5863.9587310963. The cubic root of 34386012 is about 325.1825782799.

The spelling of 34386012 in words is "thirty-four million, three hundred eighty-six thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 109 127 138 207 218 254 276 327 381 414 436 508 621 654 762 828 981 1143 1242 1308 1524 1962 2286 2484 2507 2921 2943 3429 3924 4572 5014 5842 5886 6858 7521 8763 10028 11684 11772 13716 13843 15042 17526 22563 26289 27686 30084 35052 41529 45126 52578 55372 67689 78867 83058 90252 105156 124587 135378 157734 166116 249174 270756 315468 318389 373761 498348 636778 747522 955167 1273556 1495044 1910334 2865501 3820668 5731002 8596503 11462004 17193006 34386012