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998032080 = 243537167673
BaseRepresentation
bin111011011111001…
…100001011010000
32120112222021122010
4323133030023100
54020444011310
6243011142520
733506063343
oct7337141320
92515867563
10998032080
114723aa301
1223a2a4a40
1312b9cb536
149679845a
155c943320
hex3b7cc2d0

998032080 has 160 divisors (see below), whose sum is σ = 3201295104. Its totient is φ = 257015808.

The previous prime is 998032069. The next prime is 998032081. The reversal of 998032080 is 80230899.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (998032081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1482624 + ... + 1483296.

Almost surely, 2998032080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 998032080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600647552).

998032080 is an abundant number, since it is smaller than the sum of its proper divisors (2203263024).

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

998032080 is a wasteful number, since it uses less digits than its factorization.

998032080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 998032080 is about 31591.6457311106. The cubic root of 998032080 is about 999.3435958946.

The spelling of 998032080 in words is "nine hundred ninety-eight million, thirty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 167 185 222 240 296 334 370 444 501 555 592 668 673 740 835 888 1002 1110 1336 1346 1480 1670 1776 2004 2019 2220 2505 2672 2692 2960 3340 3365 4008 4038 4440 5010 5384 6179 6680 6730 8016 8076 8880 10020 10095 10768 12358 13360 13460 16152 18537 20040 20190 24716 24901 26920 30895 32304 37074 40080 40380 49432 49802 53840 61790 74148 74703 80760 92685 98864 99604 112391 123580 124505 148296 149406 161520 185370 199208 224782 247160 249010 296592 298812 337173 370740 373515 398416 449564 494320 498020 561955 597624 674346 741480 747030 899128 996040 1123910 1195248 1348692 1482960 1494060 1685865 1798256 1992080 2247820 2697384 2988120 3371730 4158467 4495640 5394768 5976240 6743460 8316934 8991280 12475401 13486920 16633868 20792335 24950802 26973840 33267736 41584670 49901604 62377005 66535472 83169340 99803208 124754010 166338680 199606416 249508020 332677360 499016040 998032080