Search a number
-
+
354351231020 = 225178312779833
BaseRepresentation
bin1010010100000001111…
…10101011000000101100
31020212122100100122012102
411022000332223000230
521301202403343040
6430441532354232
734413103523663
oct5120076530054
91225570318172
10354351231020
11127309039646
1258813615978
13275521b7637
14132176d3dda
15933e057515
hex5280fab02c

354351231020 has 96 divisors (see below), whose sum is σ = 798108873408. Its totient is φ = 131678953472.

The previous prime is 354351231019. The next prime is 354351231041. The reversal of 354351231020 is 20132153453.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36032024 + ... + 36041856.

It is an arithmetic number, because the mean of its divisors is an integer number (8313634098).

Almost surely, 2354351231020 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 354351231020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399054436704).

354351231020 is an abundant number, since it is smaller than the sum of its proper divisors (443757642388).

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

354351231020 is a wasteful number, since it uses less digits than its factorization.

354351231020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11219 (or 11217 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

Adding to 354351231020 its reverse (20132153453), we get a palindrome (374483384473).

The spelling of 354351231020 in words is "three hundred fifty-four billion, three hundred fifty-one million, two hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 83 85 166 170 332 340 415 830 1277 1411 1660 2554 2822 5108 5644 6385 7055 9833 12770 14110 19666 21709 25540 28220 39332 43418 49165 86836 98330 105991 108545 167161 196660 211982 217090 334322 423964 434180 529955 668644 816139 835805 1059910 1632278 1671610 1801847 2119820 3264556 3343220 3603694 4080695 7207388 8161390 9009235 12556741 13874363 16322780 18018470 25113482 27748726 36036940 50226964 55497452 62783705 69371815 125567410 138743630 213464597 251134820 277487260 426929194 853858388 1042209503 1067322985 2084419006 2134645970 4168838012 4269291940 5211047515 10422095030 17717561551 20844190060 35435123102 70870246204 88587807755 177175615510 354351231020