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998428356 = 223429106261
BaseRepresentation
bin111011100000101…
…100111011000100
32120120201102020000
4323200230323010
54021044201411
6243023441300
733512333562
oct7340547304
92516642200
10998428356
11472650002
1223a456230
1312bb09a13
149685ca32
155c9c0956
hex3b82cec4

998428356 has 60 divisors (see below), whose sum is σ = 2700117420. Its totient is φ = 321330240.

The previous prime is 998428349. The next prime is 998428357. The reversal of 998428356 is 653824899.

998428356 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 156500100 + 841928256 = 12510^2 + 29016^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (998428357) 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, 43735 + ... + 62526.

It is an arithmetic number, because the mean of its divisors is an integer number (45001957).

Almost surely, 2998428356 is an apocalyptic number.

It is an amenable number.

998428356 is an abundant number, since it is smaller than the sum of its proper divisors (1701689064).

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

998428356 is a wasteful number, since it uses less digits than its factorization.

998428356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106306 (or 106295 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 998428356 is about 31597.9169566603. The cubic root of 998428356 is about 999.4758439751.

The spelling of 998428356 in words is "nine hundred ninety-eight million, four hundred twenty-eight thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 1044 1566 2349 3132 4698 9396 106261 212522 318783 425044 637566 956349 1275132 1912698 2869047 3081569 3825396 5738094 6163138 8607141 9244707 11476188 12326276 17214282 18489414 27734121 34428564 36978828 55468242 83202363 110936484 166404726 249607089 332809452 499214178 998428356