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320102442 = 237116653
BaseRepresentation
bin10011000101000…
…110000000101010
3211022022220000000
4103011012000222
51123421234232
651432523430
710634553162
oct2305060052
9738286000
10320102442
11154764780
128b250576
1351418a3a
14307275a2
151d18027c
hex1314602a

320102442 has 64 divisors (see below), whose sum is σ = 785704320. Its totient is φ = 96986160.

The previous prime is 320102417. The next prime is 320102459. The reversal of 320102442 is 244201023.

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 31 ways as a sum of consecutive naturals, for example, 44788 + ... + 51440.

It is an arithmetic number, because the mean of its divisors is an integer number (12276630).

Almost surely, 2320102442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320102442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392852160).

320102442 is an abundant number, since it is smaller than the sum of its proper divisors (465601878).

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

320102442 is an equidigital number, since it uses as much as digits as its factorization.

320102442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6687 (or 6669 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 320102442 is about 17891.4069318206. The cubic root of 320102442 is about 684.0633597817.

Adding to 320102442 its reverse (244201023), we get a palindrome (564303465).

The spelling of 320102442 in words is "three hundred twenty million, one hundred two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 729 891 1458 1782 2187 2673 4374 5346 6653 8019 13306 16038 19959 24057 39918 48114 59877 73183 119754 146366 179631 219549 359262 439098 538893 658647 1077786 1317294 1616679 1975941 3233358 3951882 4850037 5927823 9700074 11855646 14550111 17783469 29100222 35566938 53350407 106700814 160051221 320102442