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3894480 = 24345601
BaseRepresentation
bin1110110110110011010000
321022212020000
432312303100
51444110410
6215250000
745050112
oct16666320
97285200
103894480
11221aa87
121379900
13a64835
147353b2
1551ddc0
hex3b6cd0

3894480 has 100 divisors (see below), whose sum is σ = 13548612. Its totient is φ = 1036800.

The previous prime is 3894469. The next prime is 3894481. The reversal of 3894480 is 844983.

It can be written as a sum of positive squares in 2 ways, for example, as 2396304 + 1498176 = 1548^2 + 1224^2 .

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3894481) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6180 + ... + 6780.

Almost surely, 23894480 is an apocalyptic number.

3894480 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 3894480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6774306).

3894480 is an abundant number, since it is smaller than the sum of its proper divisors (9654132).

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

3894480 is a wasteful number, since it uses less digits than its factorization.

3894480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3894480 is about 1973.4436906079. The cubic root of 3894480 is about 157.3317932116.

The spelling of 3894480 in words is "three million, eight hundred ninety-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 601 648 720 810 1080 1202 1296 1620 1803 2160 2404 3005 3240 3606 4808 5409 6010 6480 7212 9015 9616 10818 12020 14424 16227 18030 21636 24040 27045 28848 32454 36060 43272 48080 48681 54090 64908 72120 81135 86544 97362 108180 129816 144240 162270 194724 216360 243405 259632 324540 389448 432720 486810 649080 778896 973620 1298160 1947240 3894480