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3478680 = 233353221
BaseRepresentation
bin1101010001010010011000
320112201212000
431101102120
51342304210
6202321000
741365632
oct15212230
96481760
103478680
111a66647
1211b9160
1394a4ba
14667a52
1548aac0
hex351498

3478680 has 64 divisors (see below), whose sum is σ = 11599200. Its totient is φ = 927360.

The previous prime is 3478679. The next prime is 3478687. The reversal of 3478680 is 868743.

3478680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3478687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 531 + ... + 2690.

Almost surely, 23478680 is an apocalyptic number.

3478680 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 3478680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5799600).

3478680 is an abundant number, since it is smaller than the sum of its proper divisors (8120520).

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

3478680 is a wasteful number, since it uses less digits than its factorization.

3478680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3241 (or 3231 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3478680 is about 1865.1219799252. The cubic root of 3478680 is about 151.5205344189.

The spelling of 3478680 in words is "three million, four hundred seventy-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 3221 6442 9663 12884 16105 19326 25768 28989 32210 38652 48315 57978 64420 77304 86967 96630 115956 128840 144945 173934 193260 231912 289890 347868 386520 434835 579780 695736 869670 1159560 1739340 3478680