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3809440 = 25529821
BaseRepresentation
bin1110100010000010100000
321011112120101
432202002200
51433400230
6213352144
744244145
oct16420240
97145511
103809440
1121720a8
121338654
13a34c0b
147123cc
15503aca
hex3a20a0

3809440 has 48 divisors (see below), whose sum is σ = 9321480. Its totient is φ = 1469440.

The previous prime is 3809431. The next prime is 3809461. The reversal of 3809440 is 449083.

It can be written as a sum of positive squares in 4 ways, for example, as 2702736 + 1106704 = 1644^2 + 1052^2 .

It is a super-2 number, since 2×38094402 = 29023666227200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3809399 and 3809408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4230 + ... + 5050.

Almost surely, 23809440 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 3809440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4660740).

3809440 is an abundant number, since it is smaller than the sum of its proper divisors (5512040).

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

3809440 is a wasteful number, since it uses less digits than its factorization.

3809440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 3809440 is about 1951.7786759774. The cubic root of 3809440 is about 156.1781878003.

The spelling of 3809440 in words is "three million, eight hundred nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 821 928 1160 1642 2320 3284 4105 4640 6568 8210 13136 16420 23809 26272 32840 47618 65680 95236 119045 131360 190472 238090 380944 476180 761888 952360 1904720 3809440