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320130440 = 23576118743
BaseRepresentation
bin10011000101001…
…100110110001000
3211022101022101222
4103011030312020
51123423133230
651433301212
710635030620
oct2305146610
9738338358
10320130440
11154783813
128b264808
13514286c6
1430733880
151d1886e5
hex1314cd88

320130440 has 64 divisors (see below), whose sum is σ = 836732160. Its totient is φ = 107953920.

The previous prime is 320130431. The next prime is 320130511. The reversal of 320130440 is 44031023.

It is a super-2 number, since 2×3201304402 = 204966997229187200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7709 + ... + 26451.

It is an arithmetic number, because the mean of its divisors is an integer number (13073940).

Almost surely, 2320130440 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 320130440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418366080).

320130440 is an abundant number, since it is smaller than the sum of its proper divisors (516601720).

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

320130440 is a wasteful number, since it uses less digits than its factorization.

320130440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18822 (or 18818 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 320130440 is about 17892.1893573704. The cubic root of 320130440 is about 684.0833032384.

Adding to 320130440 its reverse (44031023), we get a palindrome (364161463).

The spelling of 320130440 in words is "three hundred twenty million, one hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 61 70 122 140 244 280 305 427 488 610 854 1220 1708 2135 2440 3416 4270 8540 17080 18743 37486 74972 93715 131201 149944 187430 262402 374860 524804 656005 749720 1049608 1143323 1312010 2286646 2624020 4573292 5248040 5716615 8003261 9146584 11433230 16006522 22866460 32013044 40016305 45732920 64026088 80032610 160065220 320130440