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4074440 = 235372753
BaseRepresentation
bin1111100010101111001000
321200000002012
433202233020
52020340230
6223155052
746426556
oct17425710
97600065
104074440
112333207
121445a88
13ac8716
14780bd6
15557395
hex3e2bc8

4074440 has 32 divisors (see below), whose sum is σ = 9418680. Its totient is φ = 1585152.

The previous prime is 4074439. The next prime is 4074443. The reversal of 4074440 is 444704.

It can be written as a sum of positive squares in 4 ways, for example, as 4072324 + 2116 = 2018^2 + 46^2 .

It is a super-2 number, since 2×40744402 = 33202122627200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4074443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104 + ... + 2856.

Almost surely, 24074440 is an apocalyptic number.

4074440 is a gapful number since it is divisible by the number (40) 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 4074440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4709340).

4074440 is an abundant number, since it is smaller than the sum of its proper divisors (5344240).

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

4074440 is a wasteful number, since it uses less digits than its factorization.

4074440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2801 (or 2797 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 23.

The square root of 4074440 is about 2018.5242133797. The cubic root of 4074440 is about 159.7187768325.

The spelling of 4074440 in words is "four million, seventy-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 2753 5506 11012 13765 22024 27530 55060 101861 110120 203722 407444 509305 814888 1018610 2037220 4074440