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3882040 = 235374361
BaseRepresentation
bin1110110011110000111000
321022020011021
432303300320
51443211130
6215112224
744665621
oct16636070
97266137
103882040
1122116a8
121372674
13a5bc86
14730a48
1551a37a
hex3b3c38

3882040 has 64 divisors (see below), whose sum is σ = 9329760. Its totient is φ = 1451520.

The previous prime is 3882031. The next prime is 3882071. The reversal of 3882040 is 402883.

It is a junction number, because it is equal to n+sod(n) for n = 3881996 and 3882014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63610 + ... + 63670.

Almost surely, 23882040 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 3882040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4664880).

3882040 is an abundant number, since it is smaller than the sum of its proper divisors (5447720).

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

3882040 is a wasteful number, since it uses less digits than its factorization.

3882040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 3882040 is about 1970.2893188565. The cubic root of 3882040 is about 157.1640947290.

The spelling of 3882040 in words is "three million, eight hundred eighty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 43 61 74 86 122 148 172 185 215 244 296 305 344 370 430 488 610 740 860 1220 1480 1591 1720 2257 2440 2623 3182 4514 5246 6364 7955 9028 10492 11285 12728 13115 15910 18056 20984 22570 26230 31820 45140 52460 63640 90280 97051 104920 194102 388204 485255 776408 970510 1941020 3882040