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4274320 = 245232101
BaseRepresentation
bin10000010011100010010000
322001011021011
4100103202100
52043234240
6231340304
751221401
oct20234220
98034234
104274320
11245a3a6
121521694
13b686ab
147d39a8
155966ea
hex413890

4274320 has 60 divisors (see below), whose sum is σ = 10491516. Its totient is φ = 1619200.

The previous prime is 4274317. The next prime is 4274377. The reversal of 4274320 is 234724.

It can be written as a sum of positive squares in 2 ways, for example, as 3055504 + 1218816 = 1748^2 + 1104^2 .

It is a super-2 number, since 2×42743202 = 36539622924800, which contains 22 as substring.

It is a d-powerful number, because it can be written as 43 + 221 + 75 + 46 + 310 + 221 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 4274291 and 4274300.

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 11 ways as a sum of consecutive naturals, for example, 42270 + ... + 42370.

Almost surely, 24274320 is an apocalyptic number.

4274320 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 4274320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5245758).

4274320 is an abundant number, since it is smaller than the sum of its proper divisors (6217196).

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

4274320 is a wasteful number, since it uses less digits than its factorization.

4274320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 4274320 is about 2067.4428649905. The cubic root of 4274320 is about 162.2889726205.

The spelling of 4274320 in words is "four million, two hundred seventy-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 101 115 184 202 230 368 404 460 505 529 808 920 1010 1058 1616 1840 2020 2116 2323 2645 4040 4232 4646 5290 8080 8464 9292 10580 11615 18584 21160 23230 37168 42320 46460 53429 92920 106858 185840 213716 267145 427432 534290 854864 1068580 2137160 4274320