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316073436 = 223719296829
BaseRepresentation
bin10010110101101…
…110010111011100
3211000202012020120
4102311232113130
51121403322221
651210314540
710555402620
oct2265562734
9730665216
10316073436
11152462718
1289a28a50
1350637c03
142dd99180
151cb365c6
hex12d6e5dc

316073436 has 96 divisors (see below), whose sum is σ = 917952000. Its totient is φ = 82591488.

The previous prime is 316073423. The next prime is 316073447. The reversal of 316073436 is 634370613.

It is a junction number, because it is equal to n+sod(n) for n = 316073397 and 316073406.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 42870 + ... + 49698.

It is an arithmetic number, because the mean of its divisors is an integer number (9562000).

Almost surely, 2316073436 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 316073436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458976000).

316073436 is an abundant number, since it is smaller than the sum of its proper divisors (601878564).

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

316073436 is a wasteful number, since it uses less digits than its factorization.

316073436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6891 (or 6889 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 33.

The square root of 316073436 is about 17778.4542635180. The cubic root of 316073436 is about 681.1812197092.

The spelling of 316073436 in words is "three hundred sixteen million, seventy-three thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 29 38 42 57 58 76 84 87 114 116 133 174 203 228 266 348 399 406 532 551 609 798 812 1102 1218 1596 1653 2204 2436 3306 3857 6612 6829 7714 11571 13658 15428 20487 23142 27316 40974 46284 47803 81948 95606 129751 143409 191212 198041 259502 286818 389253 396082 519004 573636 594123 778506 792164 908257 1188246 1386287 1557012 1816514 2376492 2724771 2772574 3633028 3762779 4158861 5449542 5545148 7525558 8317722 10899084 11288337 15051116 16635444 22576674 26339453 45153348 52678906 79018359 105357812 158036718 316073436