Search a number
-
+
34935012 = 22327157883
BaseRepresentation
bin1000010101000…
…1000011100100
32102201212211100
42011101003210
532420410022
63244440100
7602641230
oct205210344
972655740
1034935012
11187a1212
12b849030
137312308
1448d55c0
1531011ac
hex21510e4

34935012 has 72 divisors (see below), whose sum is σ = 101681216. Its totient is φ = 9906624.

The previous prime is 34935011. The next prime is 34935023. The reversal of 34935012 is 21053943.

It is not an unprimeable number, because it can be changed into a prime (34935011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39123 + ... + 40005.

Almost surely, 234935012 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 34935012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50840608).

34935012 is an abundant number, since it is smaller than the sum of its proper divisors (66746204).

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

34935012 is a wasteful number, since it uses less digits than its factorization.

34935012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 34935012 is about 5910.5847426460. The cubic root of 34935012 is about 326.9040483844.

Adding to 34935012 its reverse (21053943), we get a palindrome (55988955).

The spelling of 34935012 in words is "thirty-four million, nine hundred thirty-five thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 157 252 314 471 628 883 942 1099 1413 1766 1884 2198 2649 2826 3297 3532 4396 5298 5652 6181 6594 7947 9891 10596 12362 13188 15894 18543 19782 24724 31788 37086 39564 55629 74172 111258 138631 222516 277262 415893 554524 831786 970417 1247679 1663572 1940834 2495358 2911251 3881668 4990716 5822502 8733753 11645004 17467506 34935012