Search a number
-
+
330347496752 = 247213229141539
BaseRepresentation
bin1001100111010100011…
…11101100010100110000
31011120200111002121001022
410303222033230110300
520403022424344002
6411432021155012
732603214251300
oct4635217542460
91146614077038
10330347496752
11118110605829
125403485ba68
13251c81b1690
1411dbb7a5600
1588d6a79ba2
hex4cea3ec530

330347496752 has 120 divisors (see below), whose sum is σ = 805325799600. Its totient is φ = 130115317248.

The previous prime is 330347496727. The next prime is 330347496767. The reversal of 330347496752 is 257694743033.

It is a super-2 number, since 2×3303474967522 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330347496694 and 330347496703.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2263199 + ... + 2404737.

It is an arithmetic number, because the mean of its divisors is an integer number (6711048330).

Almost surely, 2330347496752 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 330347496752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402662899800).

330347496752 is an abundant number, since it is smaller than the sum of its proper divisors (474978302848).

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

330347496752 is a wasteful number, since it uses less digits than its factorization.

330347496752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141803 (or 141790 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 53.

The spelling of 330347496752 in words is "three hundred thirty billion, three hundred forty-seven million, four hundred ninety-six thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 229 364 392 458 637 728 784 916 1274 1456 1603 1832 2548 2977 3206 3664 5096 5954 6412 10192 11221 11908 12824 20839 22442 23816 25648 41678 44884 47632 83356 89768 141539 145873 166712 179536 283078 291746 333424 566156 583492 990773 1132312 1166984 1840007 1981546 2264624 2333968 3680014 3963092 6935411 7360028 7926184 12880049 13870822 14720056 15852368 25760098 27741644 29440112 32412431 51520196 55483288 64824862 90160343 103040392 110966576 129649724 180320686 206080784 226887017 259299448 360641372 421361603 453774034 518598896 721282744 842723206 907548068 1442565488 1588209119 1685446412 1815096136 2949531221 3176418238 3370892824 3630192272 5899062442 6352836476 6741785648 11798124884 12705672952 20646718547 23596249768 25411345904 41293437094 47192499536 82586874188 165173748376 330347496752