Search a number
-
+
306498098970 = 232571579130809
BaseRepresentation
bin1000111010111001011…
…01011101011100011010
31002022010101020122202100
410131130231131130122
520010202003131340
6352445301544230
731100210566320
oct4353455353432
91068111218670
10306498098970
11108a92206228
124b499715076
1322b9716539b
1410b9816dd10
157e8cdd6830
hex475cb5d71a

306498098970 has 96 divisors (see below), whose sum is σ = 910824445440. Its totient is φ = 70049998080.

The previous prime is 306498098957. The next prime is 306498098993. The reversal of 306498098970 is 79890894603.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 306498098898 and 306498098907.

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, 9932926 + ... + 9963734.

It is an arithmetic number, because the mean of its divisors is an integer number (9487754640).

Almost surely, 2306498098970 is an apocalyptic number.

306498098970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

306498098970 is an abundant number, since it is smaller than the sum of its proper divisors (604326346470).

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

306498098970 is a wasteful number, since it uses less digits than its factorization.

306498098970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46620 (or 46617 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 306498098970 in words is "three hundred six billion, four hundred ninety-eight million, ninety-eight thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 15791 30809 31582 47373 61618 78955 92427 94746 110537 142119 154045 157910 184854 215663 221074 236865 277281 284238 308090 331611 431326 462135 473730 552685 554562 646989 663222 710595 924270 994833 1078315 1105370 1293978 1386405 1421190 1658055 1940967 1989666 2156630 2772810 3234945 3316110 3881934 4974165 6469890 9704835 9948330 19409670 486504919 973009838 1459514757 2432524595 2919029514 3405534433 4378544271 4865049190 6811068866 7297573785 8757088542 10216603299 14595147570 17027672165 20433206598 21892721355 30649809897 34055344330 43785442710 51083016495 61299619794 102166032990 153249049485 306498098970