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34380066 = 2372337347
BaseRepresentation
bin1000001100100…
…1100100100010
32101200200120210
42003021210202
532300130231
63224514550
7565140300
oct203114442
971620523
1034380066
1118452286
12b61ba56
137179846
1447cd270
153041a46
hex20c9922

34380066 has 48 divisors (see below), whose sum is σ = 80454816. Its totient is φ = 9765504.

The previous prime is 34380053. The next prime is 34380107. The reversal of 34380066 is 66008343.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98905 + ... + 99251.

It is an arithmetic number, because the mean of its divisors is an integer number (1676142).

Almost surely, 234380066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34380066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40227408).

34380066 is an abundant number, since it is smaller than the sum of its proper divisors (46074750).

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

34380066 is a wasteful number, since it uses less digits than its factorization.

34380066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 34380066 is about 5863.4517137945. The cubic root of 34380066 is about 325.1638337677.

The spelling of 34380066 in words is "thirty-four million, three hundred eighty thousand, sixty-six".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 337 347 674 694 1011 1041 2022 2082 2359 2429 4718 4858 7077 7287 14154 14574 16513 17003 33026 34006 49539 51009 99078 102018 116939 233878 350817 701634 818573 1637146 2455719 4911438 5730011 11460022 17190033 34380066