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3994632 = 2332109509
BaseRepresentation
bin1111001111010000001000
321111221121100
433033100020
52010312012
6221341400
745645105
oct17172010
97457540
103994632
112289254
121407860
13a9b2b5
1475daac
1553d8dc
hex3cf408

3994632 has 48 divisors (see below), whose sum is σ = 10939500. Its totient is φ = 1316736.

The previous prime is 3994621. The next prime is 3994681. The reversal of 3994632 is 2364993.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3709476 + 285156 = 1926^2 + 534^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 313 + 9 + 93 + 45 + 67 + 313 + 219 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7594 + ... + 8102.

Almost surely, 23994632 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 3994632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5469750).

3994632 is an abundant number, since it is smaller than the sum of its proper divisors (6944868).

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

3994632 is a wasteful number, since it uses less digits than its factorization.

3994632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 623 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 3994632 is about 1998.6575494566. The cubic root of 3994632 is about 158.6690636677.

The spelling of 3994632 in words is "three million, nine hundred ninety-four thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 109 218 327 436 509 654 872 981 1018 1308 1527 1962 2036 2616 3054 3924 4072 4581 6108 7848 9162 12216 18324 36648 55481 110962 166443 221924 332886 443848 499329 665772 998658 1331544 1997316 3994632