Search a number
-
+
3366844152 = 23371710631109
BaseRepresentation
bin1100100010101101…
…1111011011111000
322200122022101220120
43020223133123320
523343403003102
61314031053240
7146301463110
oct31053373370
98618271816
103366844152
11147854a931
1279b671220
134186b7599
1423d21a040
1514a8a86bc
hexc8adf6f8

3366844152 has 128 divisors (see below), whose sum is σ = 10204185600. Its totient is φ = 903702528.

The previous prime is 3366844141. The next prime is 3366844157. The reversal of 3366844152 is 2514486633.

It is a super-2 number, since 2×33668441522 = 22671279087713198208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3366844157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3035374 + ... + 3036482.

It is an arithmetic number, because the mean of its divisors is an integer number (79720200).

Almost surely, 23366844152 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 3366844152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5102092800).

3366844152 is an abundant number, since it is smaller than the sum of its proper divisors (6837341448).

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

3366844152 is a wasteful number, since it uses less digits than its factorization.

3366844152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2205 (or 2201 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 3366844152 is about 58024.5133715053. The cubic root of 3366844152 is about 1498.7907516298.

The spelling of 3366844152 in words is "three billion, three hundred sixty-six million, eight hundred forty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1063 1109 1428 2126 2218 2856 3189 3327 4252 4436 6378 6654 7441 7763 8504 8872 12756 13308 14882 15526 18071 18853 22323 23289 25512 26616 29764 31052 36142 37706 44646 46578 54213 56559 59528 62104 72284 75412 89292 93156 108426 113118 126497 131971 144568 150824 178584 186312 216852 226236 252994 263942 379491 395913 433704 452472 505988 527884 758982 791826 1011976 1055768 1178867 1517964 1583652 2357734 3035928 3167304 3536601 4715468 7073202 8252069 9430936 14146404 16504138 20040739 24756207 28292808 33008276 40081478 49512414 60122217 66016552 80162956 99024828 120244434 140285173 160325912 198049656 240488868 280570346 420855519 480977736 561140692 841711038 1122281384 1683422076 3366844152