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998440080 = 2435111312887
BaseRepresentation
bin111011100000101…
…111110010010000
32120120202000022020
4323200233302100
54021100040310
6243024011440
733512413011
oct7340576220
92516660266
10998440080
114726588a0
1223a460b80
1312bb12161
1496863008
155c9c4170
hex3b82fc90

998440080 has 160 divisors (see below), whose sum is σ = 3403496448. Its totient is φ = 240115200.

The previous prime is 998440057. The next prime is 998440081. The reversal of 998440080 is 80044899.

998440080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (998440081) 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, 344397 + ... + 347283.

Almost surely, 2998440080 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 998440080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701748224).

998440080 is an abundant number, since it is smaller than the sum of its proper divisors (2405056368).

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

998440080 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (998440079) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (3039).

998440080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3045 (or 3039 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 998440080 is about 31598.1024746740. The cubic root of 998440080 is about 999.4797560598.

The spelling of 998440080 in words is "nine hundred ninety-eight million, four hundred forty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 131 132 165 176 220 240 262 264 330 393 440 524 528 655 660 786 880 1048 1310 1320 1441 1572 1965 2096 2620 2640 2882 2887 3144 3930 4323 5240 5764 5774 6288 7205 7860 8646 8661 10480 11528 11548 14410 14435 15720 17292 17322 21615 23056 23096 28820 28870 31440 31757 34584 34644 43230 43305 46192 57640 57740 63514 69168 69288 86460 86610 95271 115280 115480 127028 138576 158785 172920 173220 190542 230960 254056 317570 345840 346440 378197 381084 476355 508112 635140 692880 756394 762168 952710 1134591 1270280 1512788 1524336 1890985 1905420 2269182 2540560 3025576 3781970 3810840 4160167 4538364 5672955 6051152 7563940 7621680 8320334 9076728 11345910 12480501 15127880 16640668 18153456 20800835 22691820 24961002 30255760 33281336 41601670 45383640 49922004 62402505 66562672 83203340 90767280 99844008 124805010 166406680 199688016 249610020 332813360 499220040 998440080