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311048316 = 223319295227
BaseRepresentation
bin10010100010100…
…011100001111100
3210200021220002000
4102202203201330
51114112021231
650510502300
710464603255
oct2242434174
9720256060
10311048316
1114a640227
1288204990
134c598877
142d44bb2c
151c4926e6
hex128a387c

311048316 has 96 divisors (see below), whose sum is σ = 878304000. Its totient is φ = 94820544.

The previous prime is 311048299. The next prime is 311048321. The reversal of 311048316 is 613840113.

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

It is a self number, because there is not a number n which added to its sum of digits gives 311048316.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56895 + ... + 62121.

It is an arithmetic number, because the mean of its divisors is an integer number (9149000).

Almost surely, 2311048316 is an apocalyptic number.

311048316 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 311048316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439152000).

311048316 is an abundant number, since it is smaller than the sum of its proper divisors (567255684).

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

311048316 is a wasteful number, since it uses less digits than its factorization.

311048316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5288 (or 5280 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 311048316 is about 17636.5619098508. The cubic root of 311048316 is about 677.5519790550.

Adding to 311048316 its reverse (613840113), we get a palindrome (924888429).

It can be divided in two parts, 311048 and 316, that added together give a square (311364 = 5582).

The spelling of 311048316 in words is "three hundred eleven million, forty-eight thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 27 29 36 38 54 57 58 76 87 108 114 116 171 174 228 261 342 348 513 522 551 684 783 1026 1044 1102 1566 1653 2052 2204 3132 3306 4959 5227 6612 9918 10454 14877 15681 19836 20908 29754 31362 47043 59508 62724 94086 99313 141129 151583 188172 198626 282258 297939 303166 397252 454749 564516 595878 606332 893817 909498 1191756 1364247 1787634 1818996 2681451 2728494 2880077 3575268 4092741 5362902 5456988 5760154 8185482 8640231 10725804 11520308 16370964 17280462 25920693 34560924 51841386 77762079 103682772 155524158 311048316