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4374144 = 27323797
BaseRepresentation
bin10000101011111010000000
322020020012100
4100223322000
52104433034
6233430400
752115415
oct20537200
98206170
104374144
1125183a5
12156b400
13ba1c68
1481c10c
155b6099
hex42be80

4374144 has 48 divisors (see below), whose sum is σ = 12590370. Its totient is φ = 1457664.

The previous prime is 4374137. The next prime is 4374173. The reversal of 4374144 is 4414734.

It can be written as a sum of positive squares in only one way, i.e., 4359744 + 14400 = 2088^2 + 120^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×43741443 (a number of 21 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 747 + ... + 3050.

Almost surely, 24374144 is an apocalyptic number.

It is an amenable number.

4374144 is an abundant number, since it is smaller than the sum of its proper divisors (8216226).

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

4374144 is a wasteful number, since it uses less digits than its factorization.

4374144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3817 (or 3802 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 4374144 is about 2091.4454331873. The cubic root of 4374144 is about 163.5426480222.

Adding to 4374144 its reverse (4414734), we get a palindrome (8788878).

The spelling of 4374144 in words is "four million, three hundred seventy-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 3797 7594 11391 15188 22782 30376 34173 45564 60752 68346 91128 121504 136692 182256 243008 273384 364512 486016 546768 729024 1093536 1458048 2187072 4374144