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4374405 = 34571543
BaseRepresentation
bin10000101011111110000101
322020020120000
4100223332011
52104440110
6233431513
752116240
oct20537605
98206500
104374405
112518612
12156b599
13ba2109
1481c257
155b61c0
hex42bf85

4374405 has 40 divisors (see below), whose sum is σ = 8967552. Its totient is φ = 1998432.

The previous prime is 4374401. The next prime is 4374421. The reversal of 4374405 is 5044734.

4374405 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4374405 - 22 = 4374401 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

4374405 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4374401) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2064 + ... + 3606.

Almost surely, 24374405 is an apocalyptic number.

4374405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4374405 is an abundant number, since it is smaller than the sum of its proper divisors (4593147).

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

4374405 is a wasteful number, since it uses less digits than its factorization.

4374405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 4374405 is about 2091.5078292945. The cubic root of 4374405 is about 163.5459007563.

The spelling of 4374405 in words is "four million, three hundred seventy-four thousand, four hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 567 945 1543 2835 4629 7715 10801 13887 23145 32403 41661 54005 69435 97209 124983 162015 208305 291627 486045 624915 874881 1458135 4374405