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78934380 = 223571631153
BaseRepresentation
bin1001011010001…
…11000101101100
312111112021121120
410231013011230
5130201400010
611455500540
71645634250
oct455070554
9174467546
1078934380
1140613628
1222527750
1313479345
14a6aa260
156de2e70
hex4b4716c

78934380 has 96 divisors (see below), whose sum is σ = 254360064. Its totient is φ = 17915904.

The previous prime is 78934363. The next prime is 78934381. The reversal of 78934380 is 8343987.

78934380 is nontrivially palindromic in base 8.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (78934381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67884 + ... + 69036.

It is an arithmetic number, because the mean of its divisors is an integer number (2649584).

Almost surely, 278934380 is an apocalyptic number.

78934380 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78934380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127180032).

78934380 is an abundant number, since it is smaller than the sum of its proper divisors (175425684).

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

78934380 is a wasteful number, since it uses less digits than its factorization.

78934380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 78934380 is about 8884.5022370418. The cubic root of 78934380 is about 428.9652060175.

The spelling of 78934380 in words is "seventy-eight million, nine hundred thirty-four thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 163 210 326 420 489 652 815 978 1141 1153 1630 1956 2282 2306 2445 3260 3423 3459 4564 4612 4890 5705 5765 6846 6918 8071 9780 11410 11530 13692 13836 16142 17115 17295 22820 23060 24213 32284 34230 34590 40355 48426 68460 69180 80710 96852 121065 161420 187939 242130 375878 484260 563817 751756 939695 1127634 1315573 1879390 2255268 2631146 2819085 3758780 3946719 5262292 5638170 6577865 7893438 11276340 13155730 15786876 19733595 26311460 39467190 78934380