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670778368 = 21013411229
BaseRepresentation
bin100111111110110…
…100010000000000
31201202012001221021
4213332310100000
52333204401433
6150321035224
722423344031
oct4776642000
91652161837
10670778368
11314700797
12168785b14
13a8c7a7a0
146512ca88
153dd4e22d
hex27fb4400

670778368 has 88 divisors (see below), whose sum is σ = 1480472280. Its totient is φ = 301793280.

The previous prime is 670778351. The next prime is 670778369. The reversal of 670778368 is 863877076.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 41370624 + 629407744 = 6432^2 + 25088^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (670778369) 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 7 ways as a sum of consecutive naturals, for example, 545178 + ... + 546406.

Almost surely, 2670778368 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 670778368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740236140).

670778368 is an abundant number, since it is smaller than the sum of its proper divisors (809693912).

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

670778368 is a wasteful number, since it uses less digits than its factorization.

670778368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 52.

The square root of 670778368 is about 25899.3893364303. The cubic root of 670778368 is about 875.3727361094.

The spelling of 670778368 in words is "six hundred seventy million, seven hundred seventy-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 104 128 164 208 256 328 416 512 533 656 832 1024 1066 1229 1312 1664 2132 2458 2624 3328 4264 4916 5248 6656 8528 9832 10496 13312 15977 17056 19664 20992 31954 34112 39328 41984 50389 63908 68224 78656 100778 127816 136448 157312 201556 255632 272896 314624 403112 511264 545792 629248 655057 806224 1022528 1258496 1310114 1612448 2045056 2620228 3224896 4090112 5240456 6449792 8180224 10480912 12899584 16360448 20961824 25799168 41923648 51598336 83847296 167694592 335389184 670778368