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3482241966 = 2327311098179
BaseRepresentation
bin1100111110001110…
…1100101110101110
322222200110012221200
43033203230232232
524112423220331
61333312310330
7152202365640
oct31743545656
98880405850
103482241966
1115276a8a25
128122423a6
1343658c808
14250698890
15155aa05e6
hexcf8ecbae

3482241966 has 96 divisors (see below), whose sum is σ = 8983603200. Its totient is φ = 953881920.

The previous prime is 3482241949. The next prime is 3482241977. The reversal of 3482241966 is 6691422843.

3482241966 is a `hidden beast` number, since 348 + 2 + 241 + 9 + 66 = 666.

It is a congruent number.

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, 421665 + ... + 429843.

It is an arithmetic number, because the mean of its divisors is an integer number (93579200).

Almost surely, 23482241966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3482241966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4491801600).

3482241966 is an abundant number, since it is smaller than the sum of its proper divisors (5501361234).

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

3482241966 is a wasteful number, since it uses less digits than its factorization.

3482241966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8334 (or 8331 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 3482241966 is about 59010.5241969600. The cubic root of 3482241966 is about 1515.7223284908.

The spelling of 3482241966 in words is "three billion, four hundred eighty-two million, two hundred forty-one thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 109 126 186 217 218 279 327 434 558 651 654 763 981 1302 1526 1953 1962 2289 3379 3906 4578 6758 6867 8179 10137 13734 16358 20274 23653 24537 30411 47306 49074 57253 60822 70959 73611 114506 141918 147222 171759 212877 253549 343518 425754 507098 515277 760647 891511 1030554 1521294 1774843 1783022 2281941 2674533 3549686 4563882 5324529 5349066 6240577 8023599 10649058 12481154 15973587 16047198 18721731 27636841 31947174 37443462 55273682 56165193 82910523 112330386 165821046 193457887 248731569 386915774 497463138 580373661 1160747322 1741120983 3482241966