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998634112 = 2772891789
BaseRepresentation
bin111011100001011…
…111001010000000
32120121002212110121
4323201133022000
54021122242422
6243032110024
733514151500
oct7341371200
92517085417
10998634112
11472780653
1223a535314
1312bb7c578
14968b3a00
155ca118c7
hex3b85f280

998634112 has 96 divisors (see below), whose sum is σ = 2341588500. Its totient is φ = 422940672.

The previous prime is 998634071. The next prime is 998634137. The reversal of 998634112 is 211436899.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 986965056 + 11669056 = 31416^2 + 3416^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 557314 + ... + 559102.

Almost surely, 2998634112 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 998634112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170794250).

998634112 is an abundant number, since it is smaller than the sum of its proper divisors (1342954388).

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

998634112 is a wasteful number, since it uses less digits than its factorization.

998634112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906 (or 1887 counting only the distinct ones).

The product of its digits is 93312, while the sum is 43.

The square root of 998634112 is about 31601.1726364703. The cubic root of 998634112 is about 999.5444965481.

The spelling of 998634112 in words is "nine hundred ninety-eight million, six hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 89 98 112 128 178 196 224 356 392 448 623 712 784 896 1246 1424 1568 1789 2492 2848 3136 3578 4361 4984 5696 6272 7156 8722 9968 11392 12523 14312 17444 19936 25046 28624 34888 39872 50092 57248 69776 79744 87661 100184 114496 139552 159221 175322 200368 228992 279104 318442 350644 400736 558208 636884 701288 801472 1114547 1273768 1402576 1602944 2229094 2547536 2805152 4458188 5095072 5610304 7801829 8916376 10190144 11220608 15603658 17832752 20380288 31207316 35665504 62414632 71331008 124829264 142662016 249658528 499317056 998634112