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3479980 = 225725367
BaseRepresentation
bin1101010001100110101100
320112210122011
431101212230
51342324410
6202331004
741402500
oct15214654
96483564
103479980
111a67619
1211b9a64
1394ac7a
14668300
1548b18a
hex3519ac

3479980 has 72 divisors (see below), whose sum is σ = 8790768. Its totient is φ = 1153152.

The previous prime is 3479977. The next prime is 3479999. The reversal of 3479980 is 899743.

3479980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34799802 = 24220521600800, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 51907 + ... + 51973.

It is an arithmetic number, because the mean of its divisors is an integer number (122094).

Almost surely, 23479980 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 3479980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4395384).

3479980 is an abundant number, since it is smaller than the sum of its proper divisors (5310788).

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

3479980 is a wasteful number, since it uses less digits than its factorization.

3479980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 3479980 is about 1865.4704500474. The cubic root of 3479980 is about 151.5394067270.

The spelling of 3479980 in words is "three million, four hundred seventy-nine thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 53 67 70 98 106 134 140 196 212 245 265 268 335 371 469 490 530 670 742 938 980 1060 1340 1484 1855 1876 2345 2597 3283 3551 3710 4690 5194 6566 7102 7420 9380 10388 12985 13132 14204 16415 17755 24857 25970 32830 35510 49714 51940 65660 71020 99428 124285 173999 248570 347998 497140 695996 869995 1739990 3479980