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4334680 = 2357113137
BaseRepresentation
bin10000100010010001011000
322011020001201
4100202101120
52102202210
6232523544
751562360
oct20422130
98136051
104334680
1124a0789
1215505b4
13b89ccc
1480b9a0
155a953a
hex422458

4334680 has 64 divisors (see below), whose sum is σ = 11327040. Its totient is φ = 1462272.

The previous prime is 4334663. The next prime is 4334713. The reversal of 4334680 is 864334.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31572 + ... + 31708.

It is an arithmetic number, because the mean of its divisors is an integer number (176985).

Almost surely, 24334680 is an apocalyptic number.

4334680 is a gapful number since it is divisible by the number (40) 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 4334680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5663520).

4334680 is an abundant number, since it is smaller than the sum of its proper divisors (6992360).

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

4334680 is a wasteful number, since it uses less digits than its factorization.

4334680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 4334680 is about 2081.9894332105. The cubic root of 4334680 is about 163.0493282899.

The spelling of 4334680 in words is "four million, three hundred thirty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 113 137 140 226 274 280 452 548 565 685 791 904 959 1096 1130 1370 1582 1918 2260 2740 3164 3836 3955 4520 4795 5480 6328 7672 7910 9590 15481 15820 19180 30962 31640 38360 61924 77405 108367 123848 154810 216734 309620 433468 541835 619240 866936 1083670 2167340 4334680