Search a number
-
+
342727457640 = 233531597321391
BaseRepresentation
bin1001111110011000010…
…01011111101101101000
31012202122021011202202020
410333030021133231220
521103401212121030
6421240302504440
733522051215601
oct4771411375550
91182567152666
10342727457640
11122393795667
125650a895120
132641bc8c619
1412833a4cda8
158dad851510
hex4fcc25fb68

342727457640 has 256 divisors, whose sum is σ = 1094175129600. Its totient is φ = 85751654400.

The previous prime is 342727457629. The next prime is 342727457641. The reversal of 342727457640 is 46754727243.

It is a super-2 number, since 2×3427274576402 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (342727457641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16011345 + ... + 16032735.

It is an arithmetic number, because the mean of its divisors is an integer number (4274121600).

Almost surely, 2342727457640 is an apocalyptic number.

342727457640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342727457640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547087564800).

342727457640 is an abundant number, since it is smaller than the sum of its proper divisors (751447671960).

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

342727457640 is a wasteful number, since it uses less digits than its factorization.

342727457640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21568 (or 21564 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 51.

The spelling of 342727457640 in words is "three hundred forty-two billion, seven hundred twenty-seven million, four hundred fifty-seven thousand, six hundred forty".