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4244328 = 23321123233
BaseRepresentation
bin10000001100001101101000
321222122010100
4100030031220
52041304303
6230545400
751035064
oct20141550
97878110
104244328
112439910
121508260
13b57b4a
147c6aa4
1558c8a3
hex40c368

4244328 has 96 divisors (see below), whose sum is σ = 13141440. Its totient is φ = 1224960.

The previous prime is 4244311. The next prime is 4244329. The reversal of 4244328 is 8234424.

It is a happy number.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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 (4244329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18100 + ... + 18332.

It is an arithmetic number, because the mean of its divisors is an integer number (136890).

Almost surely, 24244328 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 4244328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6570720).

4244328 is an abundant number, since it is smaller than the sum of its proper divisors (8897112).

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

4244328 is a wasteful number, since it uses less digits than its factorization.

4244328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 272 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 4244328 is about 2060.1766914515. The cubic root of 4244328 is about 161.9084988537.

The spelling of 4244328 in words is "four million, two hundred forty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 33 36 44 46 66 69 72 88 92 99 132 138 184 198 207 233 253 264 276 396 414 466 506 552 699 759 792 828 932 1012 1398 1518 1656 1864 2024 2097 2277 2563 2796 3036 4194 4554 5126 5359 5592 6072 7689 8388 9108 10252 10718 15378 16077 16776 18216 20504 21436 23067 30756 32154 42872 46134 48231 58949 61512 64308 92268 96462 117898 128616 176847 184536 192924 235796 353694 385848 471592 530541 707388 1061082 1414776 2122164 4244328