Search a number
-
+
7342283136 = 27317266161
BaseRepresentation
bin1101101011010001…
…00101100110000000
3200221200210121222110
412311220211212000
5110014111030021
63212322335320
7346643243166
oct66550454600
920850717873
107342283136
113128588aa1
12150aaba540
139001b9846
144d91b9236
152ce8cb476
hex1b5a25980

7342283136 has 96 divisors (see below), whose sum is σ = 20717968680. Its totient is φ = 2303426560.

The previous prime is 7342283129. The next prime is 7342283149. The reversal of 7342283136 is 6313822437.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 7342283094 and 7342283103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77896 + ... + 144056.

Almost surely, 27342283136 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 7342283136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10358984340).

7342283136 is an abundant number, since it is smaller than the sum of its proper divisors (13375685544).

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

7342283136 is a wasteful number, since it uses less digits than its factorization.

7342283136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66212 (or 66183 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 7342283136 is about 85687.1235133961. The cubic root of 7342283136 is about 1943.6155991120.

The spelling of 7342283136 in words is "seven billion, three hundred forty-two million, two hundred eighty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 289 384 408 544 578 816 867 1088 1156 1632 1734 2176 2312 3264 3468 4624 6528 6936 9248 13872 18496 27744 36992 55488 66161 110976 132322 198483 264644 396966 529288 793932 1058576 1124737 1587864 2117152 2249474 3175728 3374211 4234304 4498948 6351456 6748422 8468608 8997896 12702912 13496844 17995792 19120529 25405824 26993688 35991584 38241058 53987376 57361587 71983168 76482116 107974752 114723174 143966336 152964232 215949504 229446348 305928464 431899008 458892696 611856928 917785392 1223713856 1835570784 2447427712 3671141568 7342283136