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3802644 = 2232531993
BaseRepresentation
bin1110100000011000010100
321011012020200
432200120110
51433141034
6213300500
744215266
oct16403024
97135220
103802644
112167a8a
121334730
13a31ab1
1470db36
15501a99
hex3a0614

3802644 has 36 divisors (see below), whose sum is σ = 9798516. Its totient is φ = 1243008.

The previous prime is 3802621. The next prime is 3802649. The reversal of 3802644 is 4462083.

3802644 = T352 + T353 + ... + T404.

It can be written as a sum of positive squares in 2 ways, for example, as 2762244 + 1040400 = 1662^2 + 1020^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3802649) 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, 912 + ... + 2904.

It is an arithmetic number, because the mean of its divisors is an integer number (272181).

Almost surely, 23802644 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 3802644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4899258).

3802644 is an abundant number, since it is smaller than the sum of its proper divisors (5995872).

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

3802644 is a wasteful number, since it uses less digits than its factorization.

3802644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2056 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3802644 is about 1950.0369227274. The cubic root of 3802644 is about 156.0852591145.

The spelling of 3802644 in words is "three million, eight hundred two thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 1993 3986 5979 7972 11958 17937 23916 35874 71748 105629 211258 316887 422516 633774 950661 1267548 1901322 3802644