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998064468 = 2232317312251
BaseRepresentation
bin111011011111010…
…100000101010100
32120120000221001200
4323133110011110
54021001030333
6243011552500
733506256642
oct7337240524
92516027050
10998064468
11472421675
1223a2bb730
1312ba101bb
14967a6192
155c94cc13
hex3b7d4154

998064468 has 72 divisors (see below), whose sum is σ = 2640158976. Its totient is φ = 317520000.

The previous prime is 998064451. The next prime is 998064479. The reversal of 998064468 is 864460899.

It is a super-3 number, since 3×9980644683 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75343 + ... + 87593.

Almost surely, 2998064468 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 998064468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320079488).

998064468 is an abundant number, since it is smaller than the sum of its proper divisors (1642094508).

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

998064468 is a wasteful number, since it uses less digits than its factorization.

998064468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12365 (or 12360 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 998064468 is about 31592.1583308263. The cubic root of 998064468 is about 999.3544059647.

The spelling of 998064468 in words is "nine hundred ninety-eight million, sixty-four thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 73 93 124 146 186 219 279 292 372 438 558 657 876 1116 1314 2263 2628 4526 6789 9052 12251 13578 20367 24502 27156 36753 40734 49004 73506 81468 110259 147012 220518 379781 441036 759562 894323 1139343 1519124 1788646 2278686 2682969 3418029 3577292 4557372 5365938 6836058 8048907 10731876 13672116 16097814 27724013 32195628 55448026 83172039 110896052 166344078 249516117 332688156 499032234 998064468