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316297104 = 243171923887
BaseRepresentation
bin10010110110100…
…100111110010000
3211001011120001120
4102312210332100
51121433001404
651215202240
710560323664
oct2266447620
9731146046
10316297104
111525a5772
1289b16380
13506b5966
14300168a4
151cb7c9d9
hex12da4f90

316297104 has 160 divisors (see below), whose sum is σ = 951367680. Its totient is φ = 89819136.

The previous prime is 316297073. The next prime is 316297109. The reversal of 316297104 is 401792613.

It is not an unprimeable number, because it can be changed into a prime (316297109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356149 + ... + 357035.

It is an arithmetic number, because the mean of its divisors is an integer number (5946048).

Almost surely, 2316297104 is an apocalyptic number.

316297104 is a gapful number since it is divisible by the number (34) 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 316297104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475683840).

316297104 is an abundant number, since it is smaller than the sum of its proper divisors (635070576).

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

316297104 is a wasteful number, since it uses less digits than its factorization.

316297104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 316297104 is about 17784.7435741986. The cubic root of 316297104 is about 681.3418601377.

The spelling of 316297104 in words is "three hundred sixteen million, two hundred ninety-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 19 23 24 34 38 46 48 51 57 68 69 76 92 102 114 136 138 152 184 204 228 272 276 304 323 368 391 408 437 456 552 646 782 816 874 887 912 969 1104 1173 1292 1311 1564 1748 1774 1938 2346 2584 2622 2661 3128 3496 3548 3876 4692 5168 5244 5322 6256 6992 7096 7429 7752 9384 10488 10644 14192 14858 15079 15504 16853 18768 20401 20976 21288 22287 29716 30158 33706 40802 42576 44574 45237 50559 59432 60316 61203 67412 81604 89148 90474 101118 118864 120632 122406 134824 163208 178296 180948 202236 241264 244812 269648 286501 326416 346817 356592 361896 387619 404472 489624 573002 693634 723792 775238 808944 859503 979248 1040451 1146004 1162857 1387268 1550476 1719006 2080902 2292008 2325714 2774536 3100952 3438012 4161804 4584016 4651428 5549072 6201904 6589523 6876024 8323608 9302856 13179046 13752048 16647216 18605712 19768569 26358092 39537138 52716184 79074276 105432368 158148552 316297104