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316081332 = 223373113487
BaseRepresentation
bin10010110101110…
…000010010110100
3211000202121002000
4102311300102310
51121404100312
651210415300
710555434630
oct2265602264
9730677060
10316081332
11152468646
1289a31530
135063b698
142dd9bdc0
151cb38adc
hex12d704b4

316081332 has 96 divisors (see below), whose sum is σ = 966819840. Its totient is φ = 87389280.

The previous prime is 316081307. The next prime is 316081333. The reversal of 316081332 is 233180613.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 316081296 and 316081305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316081333) by changing a digit.

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, 16693 + ... + 30179.

It is an arithmetic number, because the mean of its divisors is an integer number (10071040).

Almost surely, 2316081332 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 316081332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483409920).

316081332 is an abundant number, since it is smaller than the sum of its proper divisors (650738508).

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

316081332 is a wasteful number, since it uses less digits than its factorization.

316081332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13538 (or 13530 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 316081332 is about 17778.6763286809. The cubic root of 316081332 is about 681.1868919798.

The spelling of 316081332 in words is "three hundred sixteen million, eighty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 84 93 108 124 126 186 189 217 252 279 372 378 434 558 651 756 837 868 1116 1302 1674 1953 2604 3348 3906 5859 7812 11718 13487 23436 26974 40461 53948 80922 94409 121383 161844 188818 242766 283227 364149 377636 418097 485532 566454 728298 836194 849681 1132908 1254291 1456596 1672388 1699362 2508582 2549043 2926679 3398724 3762873 5017164 5098086 5853358 7525746 8780037 10196172 11288619 11706716 15051492 17560074 22577238 26340111 35120148 45154476 52680222 79020333 105360444 158040666 316081332