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390012012 = 22321319231907
BaseRepresentation
bin10111001111110…
…001110001101100
31000011212122220100
4113033301301230
51244320341022
6102411151100
712444022155
oct2717616154
91004778810
10390012012
11190173885
12aa745490
1362a55350
1439b2492c
152438e1ac
hex173f1c6c

390012012 has 144 divisors (see below), whose sum is σ = 1166780160. Its totient is φ = 108687744.

The previous prime is 390011971. The next prime is 390012013. The reversal of 390012012 is 210210093.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (390012013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203563 + ... + 205469.

It is an arithmetic number, because the mean of its divisors is an integer number (8102640).

Almost surely, 2390012012 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 390012012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583390080).

390012012 is an abundant number, since it is smaller than the sum of its proper divisors (776768148).

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

390012012 is a wasteful number, since it uses less digits than its factorization.

390012012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 390012012 is about 19748.7217814217. The cubic root of 390012012 is about 730.6218583033.

The spelling of 390012012 in words is "three hundred ninety million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 19 23 26 36 38 39 46 52 57 69 76 78 92 114 117 138 156 171 207 228 234 247 276 299 342 414 437 468 494 598 684 741 828 874 897 988 1196 1311 1482 1748 1794 1907 2223 2622 2691 2964 3588 3814 3933 4446 5244 5382 5681 5721 7628 7866 8892 10764 11362 11442 15732 17043 17163 22724 22884 24791 34086 34326 36233 43861 49582 51129 68172 68652 72466 74373 87722 99164 102258 108699 131583 144932 148746 175444 204516 217398 223119 263166 297492 326097 394749 434796 446238 471029 526332 570193 652194 789498 833359 892476 942058 1140386 1304388 1413087 1578996 1666718 1710579 1884116 2280772 2500077 2826174 3333436 3421158 4239261 5000154 5131737 5652348 6842316 7500231 8478522 10000308 10263474 10833667 15000462 16957044 20526948 21667334 30000924 32501001 43334668 65002002 97503003 130004004 195006006 390012012