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77314230 = 23357192153
BaseRepresentation
bin1001001101110…
…11100010110110
312101110222012000
410212323202312
5124243023410
611401040130
71626105630
oct446734266
9171428160
1077314230
113a707364
1221a86046
131302ca86
14a3a7a50
156bc2dc0
hex49bb8b6

77314230 has 128 divisors (see below), whose sum is σ = 248140800. Its totient is φ = 16733952.

The previous prime is 77314207. The next prime is 77314253. The reversal of 77314230 is 3241377.

It is an interprime number because it is at equal distance from previous prime (77314207) and next prime (77314253).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 77314194 and 77314203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34834 + ... + 36986.

It is an arithmetic number, because the mean of its divisors is an integer number (1938600).

Almost surely, 277314230 is an apocalyptic number.

77314230 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 77314230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124070400).

77314230 is an abundant number, since it is smaller than the sum of its proper divisors (170826570).

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

77314230 is a wasteful number, since it uses less digits than its factorization.

77314230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 77314230 is about 8792.8510734573. The cubic root of 77314230 is about 426.0100176180.

The spelling of 77314230 in words is "seventy-seven million, three hundred fourteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 27 30 35 38 42 45 54 57 63 70 90 95 105 114 126 133 135 171 189 190 210 266 270 285 315 342 378 399 513 570 630 665 798 855 945 1026 1197 1330 1710 1890 1995 2153 2394 2565 3591 3990 4306 5130 5985 6459 7182 10765 11970 12918 15071 17955 19377 21530 30142 32295 35910 38754 40907 45213 58131 64590 75355 81814 90426 96885 116262 122721 135639 150710 193770 204535 226065 245442 271278 286349 290655 368163 406917 409070 452130 572698 581310 613605 678195 736326 813834 859047 1104489 1227210 1356390 1431745 1718094 1840815 2034585 2208978 2577141 2863490 3681630 4069170 4295235 5154282 5522445 7731423 8590470 11044890 12885705 15462846 25771410 38657115 77314230