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684445476 = 22311131632447
BaseRepresentation
bin101000110010111…
…100111100100100
31202200220102200110
4220302330330210
52400204223401
6151530013020
722650455601
oct5062747444
91680812613
10684445476
11321396020
12171277170
13aba54530
1466c896a8
154014d9d6
hex28cbcf24

684445476 has 96 divisors (see below), whose sum is σ = 1888524288. Its totient is φ = 190200960.

The previous prime is 684445451. The next prime is 684445507. The reversal of 684445476 is 674544486.

684445476 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278485 + ... + 280931.

It is an arithmetic number, because the mean of its divisors is an integer number (19672128).

Almost surely, 2684445476 is an apocalyptic number.

684445476 is a gapful number since it is divisible by the number (66) 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 684445476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944262144).

684445476 is an abundant number, since it is smaller than the sum of its proper divisors (1204078812).

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

684445476 is a wasteful number, since it uses less digits than its factorization.

684445476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641 (or 2639 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 48.

The square root of 684445476 is about 26161.9088753095. The cubic root of 684445476 is about 881.2780482597.

It can be divided in two parts, 68444 and 5476, that added together give a triangular number (73920 = T384).

The spelling of 684445476 in words is "six hundred eighty-four million, four hundred forty-five thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 163 286 326 429 489 572 652 858 978 1716 1793 1956 2119 2447 3586 4238 4894 5379 6357 7172 7341 8476 9788 10758 12714 14682 21516 23309 25428 26917 29364 31811 46618 53834 63622 69927 80751 93236 95433 107668 127244 139854 161502 190866 279708 323004 349921 381732 398861 699842 797722 1049763 1196583 1399684 1595444 2099526 2393166 4199052 4387471 4786332 5185193 8774942 10370386 13162413 15555579 17549884 20740772 26324826 31111158 52649652 57037123 62222316 114074246 171111369 228148492 342222738 684445476