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4331712 = 263711293
BaseRepresentation
bin10000100001100011000000
322011001222210
4100201203000
52102103322
6232502120
751550620
oct20414300
98131883
104331712
112499530
12154a940
13b88858
1480a880
155a870c
hex4218c0

4331712 has 112 divisors (see below), whose sum is σ = 14337792. Its totient is φ = 1121280.

The previous prime is 4331711. The next prime is 4331713. The reversal of 4331712 is 2171334.

It is an interprime number because it is at equal distance from previous prime (4331711) and next prime (4331713).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4331711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14638 + ... + 14930.

It is an arithmetic number, because the mean of its divisors is an integer number (128016).

Almost surely, 24331712 is an apocalyptic number.

4331712 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 4331712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7168896).

4331712 is an abundant number, since it is smaller than the sum of its proper divisors (10006080).

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

4331712 is a wasteful number, since it uses less digits than its factorization.

4331712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 316 counting only the distinct ones).

The product of its digits is 504, while the sum is 21.

The square root of 4331712 is about 2081.2765313624. The cubic root of 4331712 is about 163.0121059422.

It can be divided in two parts, 433 and 1712, that added together give a triangular number (2145 = T65).

The spelling of 4331712 in words is "four million, three hundred thirty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 293 308 336 352 448 462 528 586 616 672 704 879 924 1056 1172 1232 1344 1758 1848 2051 2112 2344 2464 3223 3516 3696 4102 4688 4928 6153 6446 7032 7392 8204 9376 9669 12306 12892 14064 14784 16408 18752 19338 22561 24612 25784 28128 32816 38676 45122 49224 51568 56256 65632 67683 77352 90244 98448 103136 131264 135366 154704 180488 196896 206272 270732 309408 360976 393792 541464 618816 721952 1082928 1443904 2165856 4331712