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4312274112 = 263730809
BaseRepresentation
bin1000000010000100…
…00001010011000000
3102010112022020000000
410001002001103000
532312420232422
61551523000000
7211601503506
oct40102012300
912115266000
104312274112
111913191403
12a04209000
135395291b3
142cca00676
151a38aacac
hex1010814c0

4312274112 has 112 divisors (see below), whose sum is σ = 12834213600. Its totient is φ = 1437378048.

The previous prime is 4312274053. The next prime is 4312274119. The reversal of 4312274112 is 2114722134.

4312274112 is a `hidden beast` number, since 431 + 227 + 4 + 1 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4312274119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124564 + ... + 155372.

Almost surely, 24312274112 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 4312274112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6417106800).

4312274112 is an abundant number, since it is smaller than the sum of its proper divisors (8521939488).

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

4312274112 is an frugal number, since it uses more digits than its factorization.

4312274112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30842 (or 30814 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 4312274112 is about 65667.9077784575. The cubic root of 4312274112 is about 1627.6790977065.

Adding to 4312274112 its reverse (2114722134), we get a palindrome (6426996246).

The spelling of 4312274112 in words is "four billion, three hundred twelve million, two hundred seventy-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2187 2592 2916 3888 4374 5184 5832 7776 8748 11664 15552 17496 23328 30809 34992 46656 61618 69984 92427 123236 139968 184854 246472 277281 369708 492944 554562 739416 831843 985888 1109124 1478832 1663686 1971776 2218248 2495529 2957664 3327372 4436496 4991058 5915328 6654744 7486587 8872992 9982116 13309488 14973174 17745984 19964232 22459761 26618976 29946348 39928464 44919522 53237952 59892696 67379283 79856928 89839044 119785392 134758566 159713856 179678088 239570784 269517132 359356176 479141568 539034264 718712352 1078068528 1437424704 2156137056 4312274112