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966339396 = 22341121572
BaseRepresentation
bin111001100110010…
…010101101000100
32111100100010110000
4321212102231010
53434340330041
6235520001300
732642515011
oct7146225504
92440303400
10966339396
11456523100
1222b760230
13125282c79
14924a8708
1559c82bb6
hex39992b44

966339396 has 135 divisors (see below), whose sum is σ = 2794533357. Its totient is φ = 290964960.

The previous prime is 966339389. The next prime is 966339401. The reversal of 966339396 is 693933669.

The square root of 966339396 is 31086.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 283248900 + 683090496 = 16830^2 + 26136^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6154950 + ... + 6155106.

Almost surely, 2966339396 is an apocalyptic number.

966339396 is the 31086-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 966339396

966339396 is an abundant number, since it is smaller than the sum of its proper divisors (1828193961).

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

966339396 is a wasteful number, since it uses less digits than its factorization.

966339396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 173 counting only the distinct ones).

The product of its digits is 4251528, while the sum is 54.

The cubic root of 966339396 is about 988.6514973396.

The spelling of 966339396 in words is "nine hundred sixty-six million, three hundred thirty-nine thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 157 162 198 242 297 314 324 363 396 471 484 594 628 726 891 942 1089 1188 1413 1452 1727 1782 1884 2178 2826 3267 3454 3564 4239 4356 5181 5652 6534 6908 8478 9801 10362 12717 13068 15543 16956 18997 19602 20724 24649 25434 31086 37994 39204 46629 49298 50868 56991 62172 73947 75988 93258 98596 113982 139887 147894 170973 186516 221841 227964 271139 279774 295788 341946 443682 512919 542278 559548 665523 683892 813417 887364 1025838 1084556 1331046 1538757 1626834 1996569 2051676 2440251 2662092 2982529 3077514 3253668 3993138 4880502 5965058 6155028 7320753 7986276 8947587 9761004 11930116 14641506 17895174 21962259 26842761 29283012 35790348 43924518 53685522 80528283 87849036 107371044 161056566 241584849 322113132 483169698 966339396