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320240640 = 2103520849
BaseRepresentation
bin10011000101100…
…111110000000000
3211022120220120110
4103011213300000
51123440200030
651435511320
710636000116
oct2305476000
9738526513
10320240640
11154849595
128b2b8540
1351466905
1430761ab6
151d1ab1b0
hex13167c00

320240640 has 88 divisors (see below), whose sum is σ = 1024318800. Its totient is φ = 85393408.

The previous prime is 320240617. The next prime is 320240647. The reversal of 320240640 is 46042023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320240647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4936 + ... + 25784.

Almost surely, 2320240640 is an apocalyptic number.

320240640 is a gapful number since it is divisible by the number (30) 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 320240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512159400).

320240640 is an abundant number, since it is smaller than the sum of its proper divisors (704078160).

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

320240640 is a wasteful number, since it uses less digits than its factorization.

320240640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20877 (or 20859 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 320240640 is about 17895.2686484445. The cubic root of 320240640 is about 684.1617892992.

Adding to 320240640 its reverse (46042023), we get a palindrome (366282663).

The spelling of 320240640 in words is "three hundred twenty million, two hundred forty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2560 3072 3840 5120 7680 15360 20849 41698 62547 83396 104245 125094 166792 208490 250188 312735 333584 416980 500376 625470 667168 833960 1000752 1250940 1334336 1667920 2001504 2501880 2668672 3335840 4003008 5003760 5337344 6671680 8006016 10007520 10674688 13343360 16012032 20015040 21349376 26686720 32024064 40030080 53373440 64048128 80060160 106746880 160120320 320240640