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309679232240 = 245719280110391
BaseRepresentation
bin1001000000110100101…
…00100001010011110000
31002121100002002222020002
410200122110201103300
520033210340412430
6354133100405132
731242066020330
oct4403224412360
91077302088202
10309679232240
1110a374942794
1250026b467a8
1323283229571
1410dba8470c0
1580c7309845
hex481a5214f0

309679232240 has 160 divisors (see below), whose sum is σ = 866563107840. Its totient is φ = 100541952000.

The previous prime is 309679232237. The next prime is 309679232251. The reversal of 309679232240 is 42232976903.

It is a happy number.

It is a congruent number.

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, 29797445 + ... + 29807835.

It is an arithmetic number, because the mean of its divisors is an integer number (5416019424).

Almost surely, 2309679232240 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 309679232240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433281553920).

309679232240 is an abundant number, since it is smaller than the sum of its proper divisors (556883875600).

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

309679232240 is a wasteful number, since it uses less digits than its factorization.

309679232240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13231 (or 13225 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 47.

The spelling of 309679232240 in words is "three hundred nine billion, six hundred seventy-nine million, two hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 665 760 1064 1330 1520 2128 2660 2801 5320 5602 10391 10640 11204 14005 19607 20782 22408 28010 39214 41564 44816 51955 53219 56020 72737 78428 83128 98035 103910 106438 112040 145474 156856 166256 196070 197429 207820 212876 224080 266095 290948 313712 363685 372533 392140 394858 415640 425752 532190 581896 727370 745066 784280 789716 831280 851504 987145 1064380 1163792 1382003 1454740 1490132 1568560 1579432 1862665 1974290 2128760 2764006 2909480 2980264 3158864 3725330 3948580 4257520 5528012 5818960 5960528 6910015 7450660 7897160 11056024 13820030 14901320 15794320 22112048 27640060 29105191 29802640 55280120 58210382 110560240 116420764 145525955 203736337 232841528 291051910 407472674 465683056 552998629 582103820 814945348 1018681685 1105997258 1164207640 1629890696 2037363370 2211994516 2328415280 2764993145 3259781392 3870990403 4074726740 4423989032 5529986290 7741980806 8149453480 8847978064 11059972580 15483961612 16298906960 19354952015 22119945160 30967923224 38709904030 44239890320 61935846448 77419808060 154839616120 309679232240