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316042830 = 23353161619
BaseRepresentation
bin10010110101100…
…110111001001110
3211000200122021000
4102311212321032
51121401332310
651205521130
710555214445
oct2265467116
9730618230
10316042830
11152441724
1289a131a6
1350626cbc
142dd8bd5c
151cb2c4c0
hex12d66e4e

316042830 has 128 divisors (see below), whose sum is σ = 885657600. Its totient is φ = 80092800.

The previous prime is 316042829. The next prime is 316042843. The reversal of 316042830 is 38240613.

It is a happy number.

316042830 is a `hidden beast` number, since 3 + 1 + 604 + 28 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 316042794 and 316042803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 510261 + ... + 510879.

It is an arithmetic number, because the mean of its divisors is an integer number (6919200).

Almost surely, 2316042830 is an apocalyptic number.

316042830 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 316042830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442828800).

316042830 is an abundant number, since it is smaller than the sum of its proper divisors (569614770).

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

316042830 is a wasteful number, since it uses less digits than its factorization.

316042830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 316042830 is about 17777.5934816836. The cubic root of 316042830 is about 681.1592323027.

The spelling of 316042830 in words is "three hundred sixteen million, forty-two thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 61 62 90 93 122 135 155 183 186 270 279 305 310 366 465 549 558 610 619 837 915 930 1098 1238 1395 1647 1674 1830 1857 1891 2745 2790 3095 3294 3714 3782 4185 5490 5571 5673 6190 8235 8370 9285 9455 11142 11346 16470 16713 17019 18570 18910 19189 27855 28365 33426 34038 37759 38378 51057 55710 56730 57567 75518 83565 85095 95945 102114 113277 115134 167130 170190 172701 188795 191890 226554 255285 287835 339831 345402 377590 510570 518103 566385 575670 679662 863505 1019493 1036206 1132770 1170529 1699155 1727010 2038986 2341058 2590515 3398310 3511587 5097465 5181030 5852645 7023174 10194930 10534761 11705290 17557935 21069522 31604283 35115870 52673805 63208566 105347610 158021415 316042830