Search a number
-
+
1984442346 = 2321923435867
BaseRepresentation
bin111011001001000…
…0010111111101010
312010022002010010200
41312102002333222
513031004123341
6524525253030
7100114324125
oct16622027752
95108063120
101984442346
119291909a7
12474704176
1325818ac53
1414b7a93bc
15b933cdb6
hex76482fea

1984442346 has 96 divisors (see below), whose sum is σ = 4833354240. Its totient is φ = 585379872.

The previous prime is 1984442329. The next prime is 1984442347. The reversal of 1984442346 is 6432444891.

It is a super-2 number, since 2×19844423462 = 7876022849195967432, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1984442347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 335305 + ... + 341171.

It is an arithmetic number, because the mean of its divisors is an integer number (50347440).

Almost surely, 21984442346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1984442346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2416677120).

1984442346 is an abundant number, since it is smaller than the sum of its proper divisors (2848911894).

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

1984442346 is a wasteful number, since it uses less digits than its factorization.

1984442346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5960 (or 5957 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 1984442346 is about 44547.0801063324. The cubic root of 1984442346 is about 1256.6456395793.

The spelling of 1984442346 in words is "one billion, nine hundred eighty-four million, four hundred forty-two thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 18 19 23 38 43 46 57 69 86 114 129 138 171 207 258 342 387 414 437 774 817 874 989 1311 1634 1978 2451 2622 2967 3933 4902 5867 5934 7353 7866 8901 11734 14706 17601 17802 18791 35202 37582 52803 56373 105606 111473 112746 134941 169119 222946 252281 269882 334419 338238 404823 504562 668838 756843 809646 1003257 1214469 1513686 2006514 2270529 2428938 2563879 4541058 4793339 5127758 5802463 7691637 9586678 11604926 14380017 15383274 17407389 23074911 28760034 34814778 43140051 46149822 52222167 86280102 104444334 110246797 220493594 330740391 661480782 992221173 1984442346