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6340770436 = 22711132775717
BaseRepresentation
bin1011110011111000…
…00111101010000100
3121100220021111211111
411321330013222010
5100441214123221
62525104414404
7313062442120
oct57174075204
917326244744
106340770436
112764221750
12128b617404
137a086cc90
14442196580
152719ebbe1
hex179f07a84

6340770436 has 96 divisors (see below), whose sum is σ = 14954994432. Its totient is φ = 2271767040.

The previous prime is 6340770427. The next prime is 6340770463.

6340770436 is nontrivially palindromic in base 10.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1106250 + ... + 1111966.

It is an arithmetic number, because the mean of its divisors is an integer number (155781192).

Almost surely, 26340770436 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 6340770436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7477497216).

6340770436 is an abundant number, since it is smaller than the sum of its proper divisors (8614223996).

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

6340770436 is a wasteful number, since it uses less digits than its factorization.

6340770436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6029 (or 6027 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 40.

The square root of 6340770436 is about 79628.9547589318. The cubic root of 6340770436 is about 1850.8902884139.

The spelling of 6340770436 in words is "six billion, three hundred forty million, seven hundred seventy thousand, four hundred thirty-six".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 277 286 308 364 554 572 1001 1108 1939 2002 3047 3601 3878 4004 5717 6094 7202 7756 11434 12188 14404 21329 22868 25207 39611 40019 42658 50414 62887 74321 79222 80038 85316 100828 125774 148642 158444 160076 251548 277277 297284 440209 520247 554554 817531 880418 1040494 1109108 1583609 1635062 1760836 2080988 3167218 3270124 5722717 6334436 11085263 11445434 17419699 20586917 22170526 22890868 34839398 41173834 44341052 69678796 82347668 121937893 144108419 226456087 243875786 288216838 452912174 487751572 576433676 905824348 1585192609 3170385218 6340770436