Search a number
-
+
3098016 = 253231347
BaseRepresentation
bin1011110100010110100000
312211101200100
423310112200
51243114031
6150222400
735222055
oct13642640
95741610
103098016
111826649
121054a00
1384615c
145a902c
15412de6
hex2f45a0

3098016 has 72 divisors (see below), whose sum is σ = 9120384. Its totient is φ = 996480.

The previous prime is 3097999. The next prime is 3098033. The reversal of 3098016 is 6108903.

3098016 = 3012 + 3022 + ... + 3312.

It is an interprime number because it is at equal distance from previous prime (3097999) and next prime (3098033).

It is a tau number, because it is divible by the number of its divisors (72).

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, 8755 + ... + 9101.

It is an arithmetic number, because the mean of its divisors is an integer number (126672).

Almost surely, 23098016 is an apocalyptic number.

3098016 is a gapful number since it is divisible by the number (36) 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 3098016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4560192).

3098016 is an abundant number, since it is smaller than the sum of its proper divisors (6022368).

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

3098016 is a wasteful number, since it uses less digits than its factorization.

3098016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 3098016 is about 1760.1181778506. The cubic root of 3098016 is about 145.7788608166.

The spelling of 3098016 in words is "three million, ninety-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 347 372 496 558 694 744 992 1041 1116 1388 1488 2082 2232 2776 2976 3123 4164 4464 5552 6246 8328 8928 10757 11104 12492 16656 21514 24984 32271 33312 43028 49968 64542 86056 96813 99936 129084 172112 193626 258168 344224 387252 516336 774504 1032672 1549008 3098016