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998230272 = 2831327691
BaseRepresentation
bin111011011111111…
…100100100000000
32120120100100111120
4323133330210000
54021021332042
6243015312240
733510550224
oct7337744400
92516310446
10998230272
114725251a6
1223a37b680
1312ba6a800
149680a784
155c981dec
hex3b7fc900

998230272 has 108 divisors (see below), whose sum is σ = 2877207984. Its totient is φ = 307107840.

The previous prime is 998230267. The next prime is 998230273. The reversal of 998230272 is 272032899.

It is not an unprimeable number, because it can be changed into a prime (998230273) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125947 + ... + 133637.

Almost surely, 2998230272 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 998230272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438603992).

998230272 is an abundant number, since it is smaller than the sum of its proper divisors (1878977712).

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

998230272 is a wasteful number, since it uses less digits than its factorization.

998230272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7736 (or 7709 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 998230272 is about 31594.7823540533. The cubic root of 998230272 is about 999.4097423311.

The spelling of 998230272 in words is "nine hundred ninety-eight million, two hundred thirty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 256 312 338 384 416 507 624 676 768 832 1014 1248 1352 1664 2028 2496 2704 3328 4056 4992 5408 7691 8112 9984 10816 15382 16224 21632 23073 30764 32448 43264 46146 61528 64896 92292 99983 123056 129792 184584 199966 246112 299949 369168 399932 492224 599898 738336 799864 984448 1199796 1299779 1476672 1599728 1968896 2399592 2599558 2953344 3199456 3899337 4799184 5199116 5906688 6398912 7798674 9598368 10398232 12797824 15597348 19196736 20796464 25595648 31194696 38393472 41592928 62389392 76786944 83185856 124778784 166371712 249557568 332743424 499115136 998230272