Search a number
-
+
34325104512 = 273192247613
BaseRepresentation
bin11111111101111011…
…111000011110000000
310021121011201222101010
4133331323320132000
51030244211321022
623434014040520
72323415400666
oct377573703600
9107534658333
1034325104512
1113614699076
12679b4a9140
13331046423a
141938a28c36
15d5d6bb50c
hex7fdef8780

34325104512 has 96 divisors (see below), whose sum is σ = 96227752680. Its totient is φ = 10839462912.

The previous prime is 34325104507. The next prime is 34325104519. The reversal of 34325104512 is 21540152343.

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

It is a self number, because there is not a number n which added to its sum of digits gives 34325104512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34325104519) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14818 + ... + 262430.

Almost surely, 234325104512 is an apocalyptic number.

34325104512 is a gapful number since it is divisible by the number (32) 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 34325104512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48113876340).

34325104512 is an abundant number, since it is smaller than the sum of its proper divisors (61902648168).

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

34325104512 is a wasteful number, since it uses less digits than its factorization.

34325104512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247668 (or 247637 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 34325104512 its reverse (21540152343), we get a palindrome (55865256855).

The spelling of 34325104512 in words is "thirty-four billion, three hundred twenty-five million, one hundred four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 361 384 456 608 722 912 1083 1216 1444 1824 2166 2432 2888 3648 4332 5776 7296 8664 11552 17328 23104 34656 46208 69312 138624 247613 495226 742839 990452 1485678 1980904 2971356 3961808 4704647 5942712 7923616 9409294 11885424 14113941 15847232 18818588 23770848 28227882 31694464 37637176 47541696 56455764 75274352 89388293 95083392 112911528 150548704 178776586 225823056 268164879 301097408 357553172 451646112 536329758 602194816 715106344 903292224 1072659516 1430212688 1806584448 2145319032 2860425376 4290638064 5720850752 8581276128 11441701504 17162552256 34325104512