Search a number
-
+
312678036 = 223311271337
BaseRepresentation
bin10010101000110…
…001011010010100
3210210100200122000
4102220301122110
51120021144121
651005435300
710514501526
oct2250613224
9723320560
10312678036
11150553700
128886bb30
134ca195b8
142d753a16
151c6b5526
hex12a31694

312678036 has 144 divisors (see below), whose sum is σ = 906272640. Its totient is φ = 93139200.

The previous prime is 312678019. The next prime is 312678049. The reversal of 312678036 is 630876213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 927660 + ... + 927996.

It is an arithmetic number, because the mean of its divisors is an integer number (6293560).

Almost surely, 2312678036 is an apocalyptic number.

312678036 is a gapful number since it is divisible by the number (36) 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 312678036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453136320).

312678036 is an abundant number, since it is smaller than the sum of its proper divisors (593594604).

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

312678036 is a wasteful number, since it uses less digits than its factorization.

312678036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 312678036 is about 17682.7044311666. The cubic root of 312678036 is about 678.7332500979.

The spelling of 312678036 in words is "three hundred twelve million, six hundred seventy-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 71 99 108 121 132 142 198 213 242 284 297 337 363 396 426 484 594 639 674 726 781 852 1011 1089 1188 1278 1348 1452 1562 1917 2022 2178 2343 2556 3033 3124 3267 3707 3834 4044 4356 4686 6066 6534 7029 7414 7668 8591 9099 9372 11121 12132 13068 14058 14828 17182 18198 21087 22242 23927 25773 28116 33363 34364 36396 40777 42174 44484 47854 51546 66726 71781 77319 81554 84348 95708 100089 103092 122331 133452 143562 154638 163108 200178 215343 231957 244662 263197 287124 309276 366993 400356 430686 463914 489324 526394 646029 733986 789591 861372 927828 1052788 1100979 1292058 1467972 1579182 2201958 2368773 2584116 2895167 3158364 4403916 4737546 5790334 7106319 8685501 9475092 11580668 14212638 17371002 26056503 28425276 34742004 52113006 78169509 104226012 156339018 312678036