Search a number
-
+
3981276 = 22321347181
BaseRepresentation
bin1111001011111111011100
321111021021200
433023333130
52004400101
6221155500
745561135
oct17137734
97437250
103981276
11227a212
1213bbb90
13a951b0
14758c8c
15539986
hex3cbfdc

3981276 has 72 divisors (see below), whose sum is σ = 11129664. Its totient is φ = 1192320.

The previous prime is 3981253. The next prime is 3981301. The reversal of 3981276 is 6721893.

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

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 3981276.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21906 + ... + 22086.

Almost surely, 23981276 is an apocalyptic number.

3981276 is a gapful number since it is divisible by the number (36) 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 3981276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5564832).

3981276 is an abundant number, since it is smaller than the sum of its proper divisors (7148388).

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

3981276 is a wasteful number, since it uses less digits than its factorization.

3981276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 246 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 3981276 is about 1995.3135092010. The cubic root of 3981276 is about 158.4920302361.

The spelling of 3981276 in words is "three million, nine hundred eighty-one thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 47 52 78 94 117 141 156 181 188 234 282 362 423 468 543 564 611 724 846 1086 1222 1629 1692 1833 2172 2353 2444 3258 3666 4706 5499 6516 7059 7332 8507 9412 10998 14118 17014 21177 21996 25521 28236 34028 42354 51042 76563 84708 102084 110591 153126 221182 306252 331773 442364 663546 995319 1327092 1990638 3981276