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98318340 = 223351631117
BaseRepresentation
bin1011101110000…
…11100000000100
320212000002102000
411313003200010
5200132141330
613431145300
72302456251
oct567034004
9225002360
1098318340
115055302a
1228b15230
13174a5243
14d0b4428
158971560
hex5dc3804

98318340 has 96 divisors (see below), whose sum is σ = 308031360. Its totient is φ = 26034048.

The previous prime is 98318321. The next prime is 98318347. The reversal of 98318340 is 4381389.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 98318295 and 98318304.

It is not an unprimeable number, because it can be changed into a prime (98318347) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 87462 + ... + 88578.

It is an arithmetic number, because the mean of its divisors is an integer number (3208660).

Almost surely, 298318340 is an apocalyptic number.

98318340 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98318340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154015680).

98318340 is an abundant number, since it is smaller than the sum of its proper divisors (209713020).

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

98318340 is a wasteful number, since it uses less digits than its factorization.

98318340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 98318340 is about 9915.5604985296. The cubic root of 98318340 is about 461.5423026603.

The spelling of 98318340 in words is "ninety-eight million, three hundred eighteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 163 180 270 326 489 540 652 815 978 1117 1467 1630 1956 2234 2445 2934 3260 3351 4401 4468 4890 5585 5868 6702 7335 8802 9780 10053 11170 13404 14670 16755 17604 20106 22005 22340 29340 30159 33510 40212 44010 50265 60318 67020 88020 100530 120636 150795 182071 201060 301590 364142 546213 603180 728284 910355 1092426 1638639 1820710 2184852 2731065 3277278 3641420 4915917 5462130 6554556 8193195 9831834 10924260 16386390 19663668 24579585 32772780 49159170 98318340