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998814240 = 2534577069
BaseRepresentation
bin111011100010001…
…011001000100000
32120121110000120000
4323202023020200
54021144023430
6243040020000
733515531604
oct7342131040
92517400500
10998814240
11472893a16
1223a601600
1312bc13558
149691d504
155ca49e60
hex3b88b220

998814240 has 120 divisors (see below), whose sum is σ = 3525027660. Its totient is φ = 266347008.

The previous prime is 998814239. The next prime is 998814241. The reversal of 998814240 is 42418899.

It is an interprime number because it is at equal distance from previous prime (998814239) and next prime (998814241).

It can be written as a sum of positive squares in 2 ways, for example, as 965220624 + 33593616 = 31068^2 + 5796^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (998814241) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25575 + ... + 51494.

Almost surely, 2998814240 is an apocalyptic number.

998814240 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

998814240 is an abundant number, since it is smaller than the sum of its proper divisors (2526213420).

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

998814240 is a wasteful number, since it uses less digits than its factorization.

998814240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77096 (or 77079 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 998814240 is about 31604.0225287858. The cubic root of 998814240 is about 999.6045903385.

The spelling of 998814240 in words is "nine hundred ninety-eight million, eight hundred fourteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 77069 154138 231207 308276 385345 462414 616552 693621 770690 924828 1156035 1233104 1387242 1541380 1849656 2080863 2312070 2466208 2774484 3082760 3468105 3699312 4161726 4624140 5548968 6165520 6242589 6936210 7398624 8323452 9248280 10404315 11097936 12331040 12485178 13872420 16646904 18496560 20808630 22195872 24970356 27744840 31212945 33293808 36993120 41617260 49940712 55489680 62425890 66587616 83234520 99881424 110979360 124851780 166469040 199762848 249703560 332938080 499407120 998814240