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312034112 = 26131919739
BaseRepresentation
bin10010100110010…
…100001101000000
3210202010222022222
4102212110031000
51114340042422
650543550212
710506150305
oct2246241500
9722128288
10312034112
11150153935
12885bb368
134c852490
142d6270ac
151c5d9842
hex12994340

312034112 has 56 divisors (see below), whose sum is σ = 701954400. Its totient is φ = 136429056.

The previous prime is 312034109. The next prime is 312034141. The reversal of 312034112 is 211430213.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5939 + ... + 25677.

It is an arithmetic number, because the mean of its divisors is an integer number (12534900).

Almost surely, 2312034112 is an apocalyptic number.

312034112 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 312034112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350977200).

312034112 is an abundant number, since it is smaller than the sum of its proper divisors (389920288).

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

312034112 is a wasteful number, since it uses less digits than its factorization.

312034112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19783 (or 19773 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 312034112 is about 17664.4873121186. The cubic root of 312034112 is about 678.2670058655.

Adding to 312034112 its reverse (211430213), we get a palindrome (523464325).

The spelling of 312034112 in words is "three hundred twelve million, thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 152 208 247 304 416 494 608 832 988 1216 1976 3952 7904 15808 19739 39478 78956 157912 256607 315824 375041 513214 631648 750082 1026428 1263296 1500164 2052856 3000328 4105712 4875533 6000656 8211424 9751066 12001312 16422848 19502132 24002624 39004264 78008528 156017056 312034112