Search a number
-
+
312303096 = 233272772237
BaseRepresentation
bin10010100111010…
…101110111111000
3210202122122022100
4102213111313320
51114422144341
650553423400
710511350440
oct2247256770
9722578270
10312303096
11150317a36
128870ab60
134c917a41
142d697120
151c63e3b6
hex129d5df8

312303096 has 96 divisors (see below), whose sum is σ = 970575840. Its totient is φ = 88867584.

The previous prime is 312303091. The next prime is 312303113. The reversal of 312303096 is 690303213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312303091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138490 + ... + 140726.

It is an arithmetic number, because the mean of its divisors is an integer number (10110165).

Almost surely, 2312303096 is an apocalyptic number.

312303096 is a gapful number since it is divisible by the number (36) 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 312303096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485287920).

312303096 is an abundant number, since it is smaller than the sum of its proper divisors (658272744).

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

312303096 is a wasteful number, since it uses less digits than its factorization.

312303096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2533 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 312303096 is about 17672.0993659497. The cubic root of 312303096 is about 678.4618462866.

The spelling of 312303096 in words is "three hundred twelve million, three hundred three thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 277 504 554 831 1108 1662 1939 2216 2237 2493 3324 3878 4474 4986 5817 6648 6711 7756 8948 9972 11634 13422 15512 15659 17451 17896 19944 20133 23268 26844 31318 34902 40266 46536 46977 53688 62636 69804 80532 93954 125272 139608 140931 161064 187908 281862 375816 563724 619649 1127448 1239298 1858947 2478596 3717894 4337543 4957192 5576841 7435788 8675086 11153682 13012629 14871576 17350172 22307364 26025258 34700344 39037887 44614728 52050516 78075774 104101032 156151548 312303096