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320230240 = 25511533433
BaseRepresentation
bin10011000101100…
…101001101100000
3211022120101022021
4103011211031200
51123434331430
651435351224
710635624601
oct2305451540
9738511267
10320230240
111548417a0
128b2b2514
1351461c65
143075bda8
151d1a807a
hex13165360

320230240 has 96 divisors (see below), whose sum is σ = 841137696. Its totient is φ = 114216960.

The previous prime is 320230201. The next prime is 320230249. The reversal of 320230240 is 42032023.

It is a super-2 number, since 2×3202302402 = 205094813220915200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320230249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91564 + ... + 94996.

It is an arithmetic number, because the mean of its divisors is an integer number (8761851).

Almost surely, 2320230240 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 320230240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420568848).

320230240 is an abundant number, since it is smaller than the sum of its proper divisors (520907456).

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

320230240 is a wasteful number, since it uses less digits than its factorization.

320230240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3512 (or 3504 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 320230240 is about 17894.9780664856. The cubic root of 320230240 is about 684.1543830357.

Adding to 320230240 its reverse (42032023), we get a palindrome (362262263).

The spelling of 320230240 in words is "three hundred twenty million, two hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 53 55 80 88 106 110 160 176 212 220 265 352 424 440 530 583 848 880 1060 1166 1696 1760 2120 2332 2915 3433 4240 4664 5830 6866 8480 9328 11660 13732 17165 18656 23320 27464 34330 37763 46640 54928 68660 75526 93280 109856 137320 151052 181949 188815 274640 302104 363898 377630 549280 604208 727796 755260 909745 1208416 1455592 1510520 1819490 2001439 2911184 3021040 3638980 4002878 5822368 6042080 7277960 8005756 10007195 14555920 16011512 20014390 29111840 32023024 40028780 64046048 80057560 160115120 320230240