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379295280312 = 2331323509103843
BaseRepresentation
bin1011000010011111100…
…00101010110010111000
31100021000201222122001220
411201033300222302320
522203244042432222
6450125034112040
736255201454524
oct5411760526270
91307021878056
10379295280312
11136949330013
126161527b620
13299c8c61010
1414502474d84
159cedd76b5c
hex584fc2acb8

379295280312 has 128 divisors (see below), whose sum is σ = 1067682470400. Its totient is φ = 111411666432.

The previous prime is 379295280293. The next prime is 379295280323. The reversal of 379295280312 is 213082592973.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3600663 + ... + 3704505.

It is an arithmetic number, because the mean of its divisors is an integer number (8341269300).

Almost surely, 2379295280312 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 379295280312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533841235200).

379295280312 is an abundant number, since it is smaller than the sum of its proper divisors (688387190088).

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

379295280312 is a wasteful number, since it uses less digits than its factorization.

379295280312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104397 (or 104393 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 379295280312 in words is "three hundred seventy-nine billion, two hundred ninety-five million, two hundred eighty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 104 138 156 184 276 299 312 509 552 598 897 1018 1196 1527 1794 2036 2392 3054 3588 4072 6108 6617 7176 11707 12216 13234 19851 23414 26468 35121 39702 46828 52936 70242 79404 93656 103843 140484 152191 158808 207686 280968 304382 311529 415372 456573 608764 623058 830744 913146 1217528 1246116 1349959 1826292 2388389 2492232 2699918 3652584 4049877 4776778 5399836 7165167 8099754 9553556 10799672 14330334 16199508 19107112 28660668 31049057 32399016 52856087 57321336 62098114 93147171 105712174 124196228 158568261 186294342 211424348 248392456 317136522 372588684 422848696 634273044 687129131 745177368 1215690001 1268546088 1374258262 2061387393 2431380002 2748516524 3647070003 4122774786 4862760004 5497033048 7294140006 8245549572 9725520008 14588280012 15803970013 16491099144 29176560024 31607940026 47411910039 63215880052 94823820078 126431760104 189647640156 379295280312