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320113240 = 23541474153
BaseRepresentation
bin10011000101001…
…000101001011000
3211022100102210221
4103011020221120
51123422110430
651433045424
710634626516
oct2305105130
9738312727
10320113240
111547718a7
128b256874
1351420925
143072b4b6
151d18357a
hex13148a58

320113240 has 64 divisors (see below), whose sum is σ = 753701760. Its totient is φ = 122234880.

The previous prime is 320113237. The next prime is 320113243. The reversal of 320113240 is 42311023.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (320113237) and next prime (320113243).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320113243) 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 15 ways as a sum of consecutive naturals, for example, 75004 + ... + 79156.

It is an arithmetic number, because the mean of its divisors is an integer number (11776590).

Almost surely, 2320113240 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 320113240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376850880).

320113240 is an abundant number, since it is smaller than the sum of its proper divisors (433588520).

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

320113240 is a wasteful number, since it uses less digits than its factorization.

320113240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4252 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 320113240 is about 17891.7086942528. The cubic root of 320113240 is about 684.0710515205.

Adding to 320113240 its reverse (42311023), we get a palindrome (362424263).

The spelling of 320113240 in words is "three hundred twenty million, one hundred thirteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 47 82 94 164 188 205 235 328 376 410 470 820 940 1640 1880 1927 3854 4153 7708 8306 9635 15416 16612 19270 20765 33224 38540 41530 77080 83060 166120 170273 195191 340546 390382 681092 780764 851365 975955 1362184 1561528 1702730 1951910 3405460 3903820 6810920 7807640 8002831 16005662 32011324 40014155 64022648 80028310 160056620 320113240