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4349772 = 2232741421
BaseRepresentation
bin10000100101111101001100
322011222202200
4100211331030
52103143042
6233121500
751654360
oct20457514
98158680
104349772
112501059
121559290
13b93b3b
148132a0
155adc4c
hex425f4c

4349772 has 72 divisors (see below), whose sum is σ = 12903072. Its totient is φ = 1209600.

The previous prime is 4349759. The next prime is 4349777. The reversal of 4349772 is 2779434.

4349772 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4349777) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10122 + ... + 10542.

Almost surely, 24349772 is an apocalyptic number.

4349772 is a gapful number since it is divisible by the number (42) 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 4349772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6451536).

4349772 is an abundant number, since it is smaller than the sum of its proper divisors (8553300).

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

4349772 is a wasteful number, since it uses less digits than its factorization.

4349772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 474 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 4349772 is about 2085.6107019288. The cubic root of 4349772 is about 163.2383380231.

The spelling of 4349772 in words is "four million, three hundred forty-nine thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 123 126 164 246 252 287 369 421 492 574 738 842 861 1148 1263 1476 1684 1722 2526 2583 2947 3444 3789 5052 5166 5894 7578 8841 10332 11788 15156 17261 17682 26523 34522 35364 51783 53046 69044 103566 106092 120827 155349 207132 241654 310698 362481 483308 621396 724962 1087443 1449924 2174886 4349772