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3984804 = 2232711559
BaseRepresentation
bin1111001100110110100100
321111110010100
433030312210
52010003204
6221224100
745604335
oct17146644
97443110
103984804
11228192a
121402030
13a96995
1475a28c
1553aa39
hex3ccda4

3984804 has 36 divisors (see below), whose sum is σ = 10221120. Its totient is φ = 1308720.

The previous prime is 3984793. The next prime is 3984809. The reversal of 3984804 is 4084893.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3984809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1777 + ... + 3335.

It is an arithmetic number, because the mean of its divisors is an integer number (283920).

Almost surely, 23984804 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 3984804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5110560).

3984804 is an abundant number, since it is smaller than the sum of its proper divisors (6236316).

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

3984804 is a wasteful number, since it uses less digits than its factorization.

3984804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3984804 is about 1996.1973850298. The cubic root of 3984804 is about 158.5388322160.

The spelling of 3984804 in words is "three million, nine hundred eighty-four thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 1559 2556 3118 4677 6236 9354 14031 18708 28062 56124 110689 221378 332067 442756 664134 996201 1328268 1992402 3984804