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998844420 = 223572437901
BaseRepresentation
bin111011100010010…
…010100000000100
32120121111112221210
4323202102200010
54021201010140
6243040411420
733516015600
oct7342224004
92517445853
10998844420
11472904662
1223a616b70
1312bc24202
149692a500
155ca53d80
hex3b892804

998844420 has 144 divisors (see below), whose sum is σ = 3329460288. Its totient is φ = 222969600.

The previous prime is 998844389. The next prime is 998844433. The reversal of 998844420 is 24448899.

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 998844420.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122470 + ... + 130370.

It is an arithmetic number, because the mean of its divisors is an integer number (23121252).

Almost surely, 2998844420 is an apocalyptic number.

It is a pronic number, being equal to 31604×31605.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 998844420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664730144).

998844420 is an abundant number, since it is smaller than the sum of its proper divisors (2330615868).

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

998844420 is a wasteful number, since it uses less digits than its factorization.

998844420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7970 (or 7961 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 998844420 is about 31604.4999960449. The cubic root of 998844420 is about 999.6146581974.

The spelling of 998844420 in words is "nine hundred ninety-eight million, eight hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 43 49 60 70 84 86 98 105 129 140 147 172 196 210 215 245 258 294 301 420 430 490 516 588 602 645 735 860 903 980 1204 1290 1470 1505 1806 2107 2580 2940 3010 3612 4214 4515 6020 6321 7901 8428 9030 10535 12642 15802 18060 21070 23703 25284 31604 31605 39505 42140 47406 55307 63210 79010 94812 110614 118515 126420 158020 165921 221228 237030 276535 331842 339743 387149 474060 553070 663684 679486 774298 829605 1019229 1106140 1161447 1358972 1548596 1659210 1698715 1935745 2038458 2322894 2378201 3318420 3397430 3871490 4076916 4645788 4756402 5096145 5807235 6794860 7134603 7742980 9512804 10192290 11614470 11891005 14269206 16647407 20384580 23228940 23782010 28538412 33294814 35673015 47564020 49942221 66589628 71346030 83237035 99884442 142692060 166474070 199768884 249711105 332948140 499422210 998844420