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4314444 = 22319127149
BaseRepresentation
bin10000011101010101001100
322010012022020
4100131111030
52101030234
6232250140
751446361
oct20352514
98105266
104314444
112487562
121540950
13b80a34
14804468
155a3549
hex41d54c

4314444 has 48 divisors (see below), whose sum is σ = 10752000. Its totient is φ = 1342656.

The previous prime is 4314433. The next prime is 4314451. The reversal of 4314444 is 4444134.

It is a super-2 number, since 2×43144442 = 37228854058272, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28882 + ... + 29030.

It is an arithmetic number, because the mean of its divisors is an integer number (224000).

Almost surely, 24314444 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 4314444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5376000).

4314444 is an abundant number, since it is smaller than the sum of its proper divisors (6437556).

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

4314444 is a wasteful number, since it uses less digits than its factorization.

4314444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 300 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 4314444 is about 2077.1239731899. The cubic root of 4314444 is about 162.7952061887.

Adding to 4314444 its reverse (4444134), we get a palindrome (8758578).

The spelling of 4314444 in words is "four million, three hundred fourteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 127 149 228 254 298 381 447 508 596 762 894 1524 1788 2413 2831 4826 5662 7239 8493 9652 11324 14478 16986 18923 28956 33972 37846 56769 75692 113538 227076 359537 719074 1078611 1438148 2157222 4314444