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320241312 = 25321111949
BaseRepresentation
bin10011000101100…
…111111010100000
3211022120221111100
4103011213322200
51123440210222
651435514400
710636002066
oct2305477240
9738527440
10320241312
1115484a046
128b2b8a00
1351467001
1430762036
151d1ab4ac
hex13167ea0

320241312 has 36 divisors (see below), whose sum is σ = 910687050. Its totient is φ = 106747008.

The previous prime is 320241293. The next prime is 320241323. The reversal of 320241312 is 213142023.

It can be written as a sum of positive squares in only one way, i.e., 240746256 + 79495056 = 15516^2 + 8916^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3202413122 = 205108995822962688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 555687 + ... + 556262.

Almost surely, 2320241312 is an apocalyptic number.

320241312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

320241312 is an abundant number, since it is smaller than the sum of its proper divisors (590445738).

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

320241312 is a wasteful number, since it uses less digits than its factorization.

320241312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111965 (or 1111954 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 320241312 is about 17895.2874243472. The cubic root of 320241312 is about 684.1622678522.

Adding to 320241312 its reverse (213142023), we get a palindrome (533383335).

The spelling of 320241312 in words is "three hundred twenty million, two hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1111949 2223898 3335847 4447796 6671694 8895592 10007541 13343388 17791184 20015082 26686776 35582368 40030164 53373552 80060328 106747104 160120656 320241312