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34376664 = 2337204623
BaseRepresentation
bin1000001100100…
…0101111011000
32101200111220210
42003020233120
532300023124
63224451120
7565124340
oct203105730
971614823
1034376664
111844a773
12b619aa0
13717812a
1447cbd20
153040a29
hex20c8bd8

34376664 has 32 divisors (see below), whose sum is σ = 98219520. Its totient is φ = 9821856.

The previous prime is 34376659. The next prime is 34376677. The reversal of 34376664 is 46667343.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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, 102144 + ... + 102479.

It is an arithmetic number, because the mean of its divisors is an integer number (3069360).

Almost surely, 234376664 is an apocalyptic number.

It is an amenable number.

34376664 is an abundant number, since it is smaller than the sum of its proper divisors (63842856).

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

34376664 is a wasteful number, since it uses less digits than its factorization.

34376664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204639 (or 204635 counting only the distinct ones).

The product of its digits is 217728, while the sum is 39.

The square root of 34376664 is about 5863.1616044588. The cubic root of 34376664 is about 325.1531081353.

It can be divided in two parts, 3437 and 6664, that added together give a palindrome (10101).

The spelling of 34376664 in words is "thirty-four million, three hundred seventy-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 204623 409246 613869 818492 1227738 1432361 1636984 2455476 2864722 4297083 4910952 5729444 8594166 11458888 17188332 34376664