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316734444 = 223213732127
BaseRepresentation
bin10010111000001…
…111101111101100
3211001222202222100
4102320033233230
51122041000234
651232415100
710564125015
oct2270175754
9731882870
10316734444
11152874304
128a0a7490
1350809a40
14300cc00c
151cc17399
hex12e0fbec

316734444 has 108 divisors (see below), whose sum is σ = 881078016. Its totient is φ = 95364864.

The previous prime is 316734359. The next prime is 316734461. The reversal of 316734444 is 444437613.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 316734399 and 316734408.

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 35 ways as a sum of consecutive naturals, for example, 2493909 + ... + 2494035.

Almost surely, 2316734444 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 316734444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440539008).

316734444 is an abundant number, since it is smaller than the sum of its proper divisors (564343572).

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

316734444 is a wasteful number, since it uses less digits than its factorization.

316734444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 218 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 316734444 is about 17797.0346968252. The cubic root of 316734444 is about 681.6557431019.

The spelling of 316734444 in words is "three hundred sixteen million, seven hundred thirty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 73 78 117 127 146 156 219 234 254 292 381 438 468 508 657 762 876 949 1143 1314 1524 1651 1898 2286 2628 2847 3302 3796 4572 4953 5329 5694 6604 8541 9271 9906 10658 11388 14859 15987 17082 18542 19812 21316 27813 29718 31974 34164 37084 47961 55626 59436 63948 69277 83439 95922 111252 120523 138554 166878 191844 207831 241046 277108 333756 361569 415662 482092 623493 676783 723138 831324 1084707 1246986 1353566 1446276 2030349 2169414 2493972 2707132 4060698 4338828 6091047 8121396 8798179 12182094 17596358 24364188 26394537 35192716 52789074 79183611 105578148 158367222 316734444