Search a number
-
+
3986340 = 223529279
BaseRepresentation
bin1111001101001110100100
321111112020020
433031032210
52010030330
6221235140
745611661
oct17151644
97445206
103986340
112282aa6
121402ab0
13a975a7
1475aa68
1553b210
hex3cd3a4

3986340 has 72 divisors (see below), whose sum is σ = 11706240. Its totient is φ = 1013376.

The previous prime is 3986329. The next prime is 3986351. The reversal of 3986340 is 436893.

It is an interprime number because it is at equal distance from previous prime (3986329) and next prime (3986351).

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, 50421 + ... + 50499.

Almost surely, 23986340 is an apocalyptic number.

3986340 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 3986340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5853120).

3986340 is an abundant number, since it is smaller than the sum of its proper divisors (7719900).

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

3986340 is a wasteful number, since it uses less digits than its factorization.

3986340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 3986340 is about 1996.5820794548. The cubic root of 3986340 is about 158.5591999567.

It can be divided in two parts, 39863 and 40, that added together give a triangular number (39903 = T282).

The spelling of 3986340 in words is "three million, nine hundred eighty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 79 87 116 145 158 174 237 290 316 348 395 435 474 580 790 841 870 948 1185 1580 1682 1740 2291 2370 2523 3364 4205 4582 4740 5046 6873 8410 9164 10092 11455 12615 13746 16820 22910 25230 27492 34365 45820 50460 66439 68730 132878 137460 199317 265756 332195 398634 664390 797268 996585 1328780 1993170 3986340