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34311312 = 2432734039
BaseRepresentation
bin1000001011100…
…0110010010000
32101120012021100
42002320302100
532240430222
63223224400
7564432660
oct202706220
971505240
1034311312
1118405662
12b5a8100
137154469
1447b21a0
15302b4ac
hex20b8c90

34311312 has 60 divisors (see below), whose sum is σ = 109744960. Its totient is φ = 9802944.

The previous prime is 34311307. The next prime is 34311313. The reversal of 34311312 is 21311343.

34311312 is a `hidden beast` number, since 343 + 11 + 312 = 666.

It is a super-2 number, since 2×343113122 = 2354532262322688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (34311313) 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, 16012 + ... + 18027.

Almost surely, 234311312 is an apocalyptic number.

It is an amenable number.

34311312 is an abundant number, since it is smaller than the sum of its proper divisors (75433648).

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

34311312 is a wasteful number, since it uses less digits than its factorization.

34311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34060 (or 34051 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 34311312 is about 5857.5858508433. The cubic root of 34311312 is about 324.9469325583.

Adding to 34311312 its reverse (21311343), we get a palindrome (55622655).

The spelling of 34311312 in words is "thirty-four million, three hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 34039 68078 102117 136156 204234 238273 272312 306351 408468 476546 544624 612702 714819 816936 953092 1225404 1429638 1633872 1906184 2144457 2450808 2859276 3812368 4288914 4901616 5718552 8577828 11437104 17155656 34311312