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380217816304 = 241929313733109
BaseRepresentation
bin1011000100001101011…
…11110111010011110000
31100100102000220022112121
411202012233313103300
522212141230110204
6450400351204024
736320103054034
oct5420657672360
91310360808477
10380217816304
11137282054a57
1261832216614
1329b151181c1
141458cbba1c4
159d54d55b54
hex5886bf74f0

380217816304 has 80 divisors (see below), whose sum is σ = 778907959200. Its totient is φ = 179300072448.

The previous prime is 380217816299. The next prime is 380217816311. The reversal of 380217816304 is 403618712083.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122294302 + ... + 122297410.

It is an arithmetic number, because the mean of its divisors is an integer number (9736349490).

Almost surely, 2380217816304 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 380217816304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389453979600).

380217816304 is an abundant number, since it is smaller than the sum of its proper divisors (398690142896).

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

380217816304 is a wasteful number, since it uses less digits than its factorization.

380217816304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4802 (or 4796 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 380217816304 in words is "three hundred eighty billion, two hundred seventeen million, eight hundred sixteen thousand, three hundred four".

Divisors: 1 2 4 8 16 19 38 76 152 293 304 586 1172 1373 2344 2746 3109 4688 5492 5567 6218 10984 11134 12436 21968 22268 24872 26087 44536 49744 52174 59071 89072 104348 118142 208696 236284 402289 417392 472568 804578 910937 945136 1609156 1821874 3218312 3643748 4268657 6436624 7287496 7643491 8537314 14574992 15286982 17074628 17307803 30573964 34149256 34615606 61147928 68298512 69231212 81104483 122295856 138462424 162208966 276924848 324417932 648835864 1250716501 1297671728 2501433002 5002866004 10005732008 20011464016 23763613519 47527227038 95054454076 190108908152 380217816304