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316424100 = 2235219431291
BaseRepresentation
bin10010110111000…
…011111110100100
3211001102000021010
4102313003332210
51122001032400
651222022220
710561363146
oct2267037644
9731360233
10316424100
11152682123
1289b77970
135072b6c5
143004ac96
151cba5450
hex12dc3fa4

316424100 has 144 divisors (see below), whose sum is σ = 986881280. Its totient is φ = 78019200.

The previous prime is 316424089. The next prime is 316424113. The reversal of 316424100 is 1424613.

It is a super-2 number, since 2×3164241002 = 200248422121620000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 244455 + ... + 245745.

Almost surely, 2316424100 is an apocalyptic number.

316424100 is a gapful number since it is divisible by the number (30) 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 316424100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493440640).

316424100 is an abundant number, since it is smaller than the sum of its proper divisors (670457180).

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

316424100 is a wasteful number, since it uses less digits than its factorization.

316424100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 316424100 is about 17788.3135794262. The cubic root of 316424100 is about 681.4330361363.

Adding to 316424100 its reverse (1424613), we get a palindrome (317848713).

The spelling of 316424100 in words is "three hundred sixteen million, four hundred twenty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 43 50 57 60 75 76 86 95 100 114 129 150 172 190 215 228 258 285 300 380 430 475 516 570 645 817 860 950 1075 1140 1290 1291 1425 1634 1900 2150 2451 2580 2582 2850 3225 3268 3873 4085 4300 4902 5164 5700 6450 6455 7746 8170 9804 12255 12900 12910 15492 16340 19365 20425 24510 24529 25820 32275 38730 40850 49020 49058 55513 61275 64550 73587 77460 81700 96825 98116 111026 122550 122645 129100 147174 166539 193650 222052 245100 245290 277565 294348 333078 367935 387300 490580 555130 613225 666156 735870 832695 1054747 1110260 1226450 1387825 1471740 1665390 1839675 2109494 2452900 2775650 3164241 3330780 3679350 4163475 4218988 5273735 5551300 6328482 7358700 8326950 10547470 12656964 15821205 16653900 21094940 26368675 31642410 52737350 63284820 79106025 105474700 158212050 316424100