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320300423104 = 2629376836829
BaseRepresentation
bin1001010100100110110…
…01001001011111000000
31010121202021202101000111
410222103121021133000
520221433402014404
6403051033401104
732066225450344
oct4522331113700
91117667671014
10320300423104
11113925269682
12520abb69194
1324286821a9c
14117072ab624
1584e99be104
hex4a936497c0

320300423104 has 112 divisors (see below), whose sum is σ = 676371621600. Its totient is φ = 150206386176.

The previous prime is 320300423099. The next prime is 320300423123. The reversal of 320300423104 is 401324003023.

It is a happy number.

It is a super-2 number, since 2×3203004231042 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46899562 + ... + 46906390.

Almost surely, 2320300423104 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 320300423104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338185810800).

320300423104 is an abundant number, since it is smaller than the sum of its proper divisors (356071198496).

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

320300423104 is a wasteful number, since it uses less digits than its factorization.

320300423104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7590 (or 7580 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 320300423104 its reverse (401324003023), we get a palindrome (721624426127).

The spelling of 320300423104 in words is "three hundred twenty billion, three hundred million, four hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 29 32 37 58 64 74 116 148 232 296 464 592 683 928 1073 1184 1366 1856 2146 2368 2732 4292 5464 6829 8584 10928 13658 17168 19807 21856 25271 27316 34336 39614 43712 50542 54632 68672 79228 101084 109264 158456 198041 202168 218528 252673 316912 396082 404336 437056 505346 633824 732859 792164 808672 1010692 1267648 1465718 1584328 1617344 2021384 2931436 3168656 4042768 4664207 5862872 6337312 7327517 8085536 9328414 11725744 12674624 14655034 16171072 18656828 23451488 29310068 37313656 46902976 58620136 74627312 117240272 135262003 149254624 172575659 234480544 270524006 298509248 345151318 468961088 541048012 690302636 1082096024 1380605272 2164192048 2761210544 4328384096 5004694111 5522421088 8656768192 10009388222 11044842176 20018776444 40037552888 80075105776 160150211552 320300423104