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4314720 = 253589101
BaseRepresentation
bin10000011101011001100000
322010012200110
4100131121200
52101032340
6232251320
751450234
oct20353140
98105613
104314720
112487793
121540b40
13b80bb7
148045c4
155a3680
hex41d660

4314720 has 96 divisors (see below), whose sum is σ = 13880160. Its totient is φ = 1126400.

The previous prime is 4314703. The next prime is 4314721. The reversal of 4314720 is 274134.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4314721) 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, 42670 + ... + 42770.

It is an arithmetic number, because the mean of its divisors is an integer number (144585).

Almost surely, 24314720 is an apocalyptic number.

4314720 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 4314720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6940080).

4314720 is an abundant number, since it is smaller than the sum of its proper divisors (9565440).

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

4314720 is a wasteful number, since it uses less digits than its factorization.

4314720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 4314720 is about 2077.1904101454. The cubic root of 4314720 is about 162.7986775142.

Adding to 4314720 its reverse (274134), we get a palindrome (4588854).

It can be divided in two parts, 431 and 4720, that added together give a triangular number (5151 = T101).

The spelling of 4314720 in words is "four million, three hundred fourteen thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 89 96 101 120 160 178 202 240 267 303 356 404 445 480 505 534 606 712 808 890 1010 1068 1212 1335 1424 1515 1616 1780 2020 2136 2424 2670 2848 3030 3232 3560 4040 4272 4848 5340 6060 7120 8080 8544 8989 9696 10680 12120 14240 16160 17978 21360 24240 26967 35956 42720 44945 48480 53934 71912 89890 107868 134835 143824 179780 215736 269670 287648 359560 431472 539340 719120 862944 1078680 1438240 2157360 4314720