Search a number
-
+
7238297328 = 243435636229
BaseRepresentation
bin1101011110110111…
…11010011011110000
3200200110010121021020
412233123322123300
5104311001003303
63154125455440
7344241340443
oct65733723360
920613117236
107238297328
113084914a09
1214a0111580
138b47aba92
144c946b65a
152c56daa53
hex1af6fa6f0

7238297328 has 80 divisors (see below), whose sum is σ = 19170856320. Its totient is φ = 2352091392.

The previous prime is 7238297321. The next prime is 7238297347. The reversal of 7238297328 is 8237928327.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7238297321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1158918 + ... + 1165146.

It is an arithmetic number, because the mean of its divisors is an integer number (239635704).

Almost surely, 27238297328 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 7238297328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9585428160).

7238297328 is an abundant number, since it is smaller than the sum of its proper divisors (11932558992).

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

7238297328 is a wasteful number, since it uses less digits than its factorization.

7238297328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6846 (or 6840 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 51.

The square root of 7238297328 is about 85078.1836195390. The cubic root of 7238297328 is about 1934.3963893901.

The spelling of 7238297328 in words is "seven billion, two hundred thirty-eight million, two hundred ninety-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 563 688 1032 1126 1689 2064 2252 3378 4504 6229 6756 9008 12458 13512 18687 24209 24916 27024 37374 48418 49832 72627 74748 96836 99664 145254 149496 193672 267847 290508 298992 387344 535694 581016 803541 1071388 1162032 1607082 2142776 3214164 3506927 4285552 6428328 7013854 10520781 12856656 14027708 21041562 28055416 42083124 56110832 84166248 150797861 168332496 301595722 452393583 603191444 904787166 1206382888 1809574332 2412765776 3619148664 7238297328