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3058840098 = 23437975261
BaseRepresentation
bin1011011001010010…
…0011001000100010
321220011202011210000
42312110203020202
522231030340343
61223305320430
7135541466106
oct26624431042
97804664700
103058840098
11132a6a9926
12714496116
13399946572
14210361906
1512d817ed3
hexb6523222

3058840098 has 80 divisors (see below), whose sum is σ = 7113234744. Its totient is φ = 981642240.

The previous prime is 3058840093. The next prime is 3058840117. The reversal of 3058840098 is 8900488503.

It can be written as a sum of positive squares in 4 ways, for example, as 3046708809 + 12131289 = 55197^2 + 3483^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3058840093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 578788 + ... + 584048.

Almost surely, 23058840098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3058840098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3556617372).

3058840098 is an abundant number, since it is smaller than the sum of its proper divisors (4054394646).

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

3058840098 is a wasteful number, since it uses less digits than its factorization.

3058840098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5409 (or 5400 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 3058840098 is about 55306.7816637345. The cubic root of 3058840098 is about 1451.6177106413.

The spelling of 3058840098 in words is "three billion, fifty-eight million, eight hundred forty thousand, ninety-eight".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 97 111 162 194 222 291 333 582 666 873 999 1746 1998 2619 2997 3589 5238 5261 5994 7178 7857 10522 10767 15714 15783 21534 31566 32301 47349 64602 94698 96903 142047 193806 194657 284094 290709 389314 426141 510317 581418 583971 852282 1020634 1167942 1530951 1751913 3061902 3503826 4592853 5255739 9185706 10511478 13778559 15767217 18881729 27557118 31534434 37763458 41335677 56645187 82671354 113290374 169935561 339871122 509806683 1019613366 1529420049 3058840098