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3881280 = 263513311
BaseRepresentation
bin1110110011100101000000
321022012010010
432303211000
51443200110
6215104520
744663454
oct16634500
97265103
103881280
112211077
121372140
13a5b820
14730664
1551a020
hex3b3940

3881280 has 112 divisors (see below), whose sum is σ = 13313664. Its totient is φ = 952320.

The previous prime is 3881249. The next prime is 3881291. The reversal of 3881280 is 821883.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 12325 + ... + 12635.

It is an arithmetic number, because the mean of its divisors is an integer number (118872).

Almost surely, 23881280 is an apocalyptic number.

3881280 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 3881280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6656832).

3881280 is an abundant number, since it is smaller than the sum of its proper divisors (9432384).

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

3881280 is a wasteful number, since it uses less digits than its factorization.

3881280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 3881280 is about 1970.0964443397. The cubic root of 3881280 is about 157.1538378789.

It can be divided in two parts, 38 and 81280, that added together give a palindrome (81318).

The spelling of 3881280 in words is "three million, eight hundred eighty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 311 312 320 390 416 480 520 622 624 780 832 933 960 1040 1244 1248 1555 1560 1866 2080 2488 2496 3110 3120 3732 4043 4160 4665 4976 6220 6240 7464 8086 9330 9952 12129 12440 12480 14928 16172 18660 19904 20215 24258 24880 29856 32344 37320 40430 48516 49760 59712 60645 64688 74640 80860 97032 99520 121290 129376 149280 161720 194064 242580 258752 298560 323440 388128 485160 646880 776256 970320 1293760 1940640 3881280