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316434930 = 235719711117
BaseRepresentation
bin10010110111000…
…110100111110010
3211001102120010020
4102313012213302
51122001404210
651222144310
710561436550
oct2267064762
9731376106
10316434930
1115268a279
1289b82096
1350733606
1430050bd0
151cba8770
hex12dc69f2

316434930 has 128 divisors (see below), whose sum is σ = 927313920. Its totient is φ = 67495680.

The previous prime is 316434883. The next prime is 316434931. The reversal of 316434930 is 39434613.

It is a junction number, because it is equal to n+sod(n) for n = 316434891 and 316434900.

It is not an unprimeable number, because it can be changed into a prime (316434931) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 282732 + ... + 283848.

It is an arithmetic number, because the mean of its divisors is an integer number (7244640).

Almost surely, 2316434930 is an apocalyptic number.

316434930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 316434930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463656960).

316434930 is an abundant number, since it is smaller than the sum of its proper divisors (610878990).

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

316434930 is a wasteful number, since it uses less digits than its factorization.

316434930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224.

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 316434930 is about 17788.6179901644. The cubic root of 316434930 is about 681.4408103393.

The spelling of 316434930 in words is "three hundred sixteen million, four hundred thirty-four thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 71 95 105 114 133 142 190 210 213 266 285 355 399 426 497 570 665 710 798 994 1065 1117 1330 1349 1491 1995 2130 2234 2485 2698 2982 3351 3990 4047 4970 5585 6702 6745 7455 7819 8094 9443 11170 13490 14910 15638 16755 18886 20235 21223 23457 28329 33510 39095 40470 42446 46914 47215 56658 63669 78190 79307 94430 106115 117285 127338 141645 148561 158614 212230 234570 237921 283290 297122 318345 396535 445683 475842 555149 636690 742805 793070 891366 1110298 1189605 1485610 1506833 1665447 2228415 2379210 2775745 3013666 3330894 4456830 4520499 5551490 7534165 8327235 9040998 10547831 15068330 16654470 21095662 22602495 31643493 45204990 52739155 63286986 105478310 158217465 316434930