Search a number
-
+
3391871364 = 2232723761769
BaseRepresentation
bin1100101000101011…
…1101100110000100
322202101101220210100
43022022331212010
523421304340424
61320323324100
7150024300540
oct31212754604
98671356710
103391871364
111490694182
127a7b20630
1342093ac9b
14242692a20
1514cb9ddc9
hexca2bd984

3391871364 has 144 divisors (see below), whose sum is σ = 10251521280. Its totient is φ = 924549120.

The previous prime is 3391871339. The next prime is 3391871377. The reversal of 3391871364 is 4631781933.

3391871364 is a `hidden beast` number, since 339 + 187 + 136 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4410372 + ... + 4411140.

It is an arithmetic number, because the mean of its divisors is an integer number (71191120).

Almost surely, 23391871364 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 3391871364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5125760640).

3391871364 is an abundant number, since it is smaller than the sum of its proper divisors (6859649916).

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

3391871364 is a wasteful number, since it uses less digits than its factorization.

3391871364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1565 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 3391871364 is about 58239.7747591798. The cubic root of 3391871364 is about 1502.4953079902.

The spelling of 3391871364 in words is "three billion, three hundred ninety-one million, eight hundred seventy-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 761 769 828 966 1449 1522 1538 1932 2283 2307 2898 3044 3076 4566 4614 5327 5383 5796 6849 6921 9132 9228 10654 10766 13698 13842 15981 16149 17503 17687 21308 21532 27396 27684 31962 32298 35006 35374 47943 48447 52509 53061 63924 64596 70012 70748 95886 96894 105018 106122 122521 123809 157527 159183 191772 193788 210036 212244 245042 247618 315054 318366 367563 371427 490084 495236 585209 630108 636732 735126 742854 1102689 1114281 1170418 1470252 1485708 1755627 2205378 2228562 2340836 3511254 4096463 4410756 4457124 5266881 7022508 8192926 10533762 12289389 13459807 16385852 21067524 24578778 26919614 36868167 40379421 49157556 53839228 73736334 80758842 94218649 121138263 147472668 161517684 188437298 242276526 282655947 376874596 484553052 565311894 847967841 1130623788 1695935682 3391871364