Search a number
-
+
3408733314 = 2337461431
BaseRepresentation
bin1100101100101101…
…0010010010000010
322210120010121001000
43023023102102002
523440113431224
61322124552430
7150320520000
oct31313222202
98716117030
103408733314
11149a160878
127b16b2716
13424292c7c
14244a01a70
1514e3d00c9
hexcb2d2482

3408733314 has 160 divisors (see below), whose sum is σ = 9002638080. Its totient is φ = 955735200.

The previous prime is 3408733297. The next prime is 3408733379. The reversal of 3408733314 is 4133378043.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 7908679 + ... + 7909109.

It is an arithmetic number, because the mean of its divisors is an integer number (56266488).

Almost surely, 23408733314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3408733314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4501319040).

3408733314 is an abundant number, since it is smaller than the sum of its proper divisors (5593904766).

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

3408733314 is an equidigital number, since it uses as much as digits as its factorization.

3408733314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3408733314 is about 58384.3584703986. The cubic root of 3408733314 is about 1504.9809696530.

The spelling of 3408733314 in words is "three billion, four hundred eight million, seven hundred thirty-three thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 61 63 98 122 126 147 183 189 294 343 366 378 427 431 441 549 686 854 862 882 1029 1098 1281 1293 1323 1647 2058 2401 2562 2586 2646 2989 3017 3087 3294 3843 3879 4802 5978 6034 6174 7203 7686 7758 8967 9051 9261 11529 11637 14406 17934 18102 18522 20923 21119 21609 23058 23274 26291 26901 27153 41846 42238 43218 52582 53802 54306 62769 63357 64827 78873 80703 81459 125538 126714 129654 146461 147833 157746 161406 162918 184037 188307 190071 236619 292922 295666 368074 376614 380142 439383 443499 473238 552111 564921 570213 709857 878766 886998 1034831 1104222 1129842 1140426 1288259 1318149 1330497 1419714 1656333 2069662 2576518 2636298 2660994 3104493 3312666 3864777 3954447 3991491 4968999 6208986 7729554 7908894 7982982 9017813 9313479 9937998 11594331 18035626 18626958 23188662 27053439 27940437 34782993 54106878 55880874 63124691 69565986 81160317 126249382 162320634 189374073 243480951 378748146 486961902 568122219 1136244438 1704366657 3408733314