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316311552 = 211321312
BaseRepresentation
bin10010110110101…
…000100000000000
3211001012021212200
4102312220200000
51121433432202
651215353200
710560414054
oct2266504000
9731167780
10316311552
11152605607
1289b22800
13506bc3cb
143001bc64
151cb81e1c
hex12da8800

316311552 has 108 divisors (see below), whose sum is σ = 920592855. Its totient is φ = 104632320.

The previous prime is 316311547. The next prime is 316311553. The reversal of 316311552 is 255113613.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

316311552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 158155776 + 158155776 = 12576^2 + 12576^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=12576.

It is not an unprimeable number, because it can be changed into a prime (316311553) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2414527 + ... + 2414657.

Almost surely, 2316311552 is an apocalyptic number.

316311552 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 316311552

316311552 is an abundant number, since it is smaller than the sum of its proper divisors (604281303).

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

316311552 is an equidigital number, since it uses as much as digits as its factorization.

316311552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 136 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 316311552 is about 17785.1497604040. The cubic root of 316311552 is about 681.3522342208.

The spelling of 316311552 in words is "three hundred sixteen million, three hundred eleven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 131 144 192 256 262 288 384 393 512 524 576 768 786 1024 1048 1152 1179 1536 1572 2048 2096 2304 2358 3072 3144 4192 4608 4716 6144 6288 8384 9216 9432 12576 16768 17161 18432 18864 25152 33536 34322 37728 50304 51483 67072 68644 75456 100608 102966 134144 137288 150912 154449 201216 205932 268288 274576 301824 308898 402432 411864 549152 603648 617796 804864 823728 1098304 1207296 1235592 1647456 2196608 2414592 2471184 3294912 4393216 4942368 6589824 8786432 9884736 13179648 17572864 19769472 26359296 35145728 39538944 52718592 79077888 105437184 158155776 316311552