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34666680 = 2335319319
BaseRepresentation
bin1000010000111…
…1100010111000
32102020020202010
42010033202320
532333313210
63235005520
7600443016
oct204174270
972206663
1034666680
1118628654
12b7398a0
13724a139
1448658b6
15309b920
hex210f8b8

34666680 has 64 divisors (see below), whose sum is σ = 107366400. Its totient is φ = 8945280.

The previous prime is 34666679. The next prime is 34666703. The reversal of 34666680 is 8666643.

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 15 ways as a sum of consecutive naturals, for example, 940 + ... + 8379.

It is an arithmetic number, because the mean of its divisors is an integer number (1677600).

Almost surely, 234666680 is an apocalyptic number.

34666680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34666680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53683200).

34666680 is an abundant number, since it is smaller than the sum of its proper divisors (72699720).

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

34666680 is a wasteful number, since it uses less digits than its factorization.

34666680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9364 (or 9360 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 34666680 is about 5887.8417098288. The cubic root of 34666680 is about 326.0649249038.

The spelling of 34666680 in words is "thirty-four million, six hundred sixty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 9319 18638 27957 37276 46595 55914 74552 93190 111828 139785 186380 223656 279570 288889 372760 559140 577778 866667 1118280 1155556 1444445 1733334 2311112 2888890 3466668 4333335 5777780 6933336 8666670 11555560 17333340 34666680