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4434416 = 247172137
BaseRepresentation
bin10000111010100111110000
322100021212122
4100322213300
52113400131
6235013412
752456220
oct20724760
98307778
104434416
112559708
12159a268
13bc351c
14836080
155c8d7b
hex43a9f0

4434416 has 60 divisors (see below), whose sum is σ = 10506768. Its totient is φ = 1775616.

The previous prime is 4434383. The next prime is 4434421. The reversal of 4434416 is 6144344.

It is a super-2 number, since 2×44344162 = 39328090522112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32300 + ... + 32436.

Almost surely, 24434416 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 4434416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5253384).

4434416 is an abundant number, since it is smaller than the sum of its proper divisors (6072352).

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

4434416 is a wasteful number, since it uses less digits than its factorization.

4434416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 163 counting only the distinct ones).

The product of its digits is 4608, while the sum is 26.

The square root of 4434416 is about 2105.8053091395. The cubic root of 4434416 is about 164.2903838082.

The spelling of 4434416 in words is "four million, four hundred thirty-four thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 137 238 272 274 289 476 548 578 952 959 1096 1156 1904 1918 2023 2192 2312 2329 3836 4046 4624 4658 7672 8092 9316 15344 16184 16303 18632 32368 32606 37264 39593 65212 79186 130424 158372 260848 277151 316744 554302 633488 1108604 2217208 4434416