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301098042 = 232723371013
BaseRepresentation
bin10001111100100…
…110010000111010
3202222120100212100
4101330212100322
51104040114132
645513324230
710314201600
oct2174462072
9688510770
10301098042
11144a64463
1284a06676
134a4c382b
142bdbb870
151b67937c
hex11f2643a

301098042 has 72 divisors (see below), whose sum is σ = 761893236. Its totient is φ = 85688064.

The previous prime is 301098041. The next prime is 301098079. The reversal of 301098042 is 240890103.

It can be written as a sum of positive squares in 2 ways, for example, as 234365481 + 66732561 = 15309^2 + 8169^2 .

It is a junction number, because it is equal to n+sod(n) for n = 301097997 and 301098015.

It is not an unprimeable number, because it can be changed into a prime (301098041) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 296728 + ... + 297740.

Almost surely, 2301098042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 301098042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380946618).

301098042 is an abundant number, since it is smaller than the sum of its proper divisors (460795194).

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

301098042 is a wasteful number, since it uses less digits than its factorization.

301098042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 301098042 is about 17352.1768663185. The cubic root of 301098042 is about 670.2486950825.

The spelling of 301098042 in words is "three hundred one million, ninety-eight thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 337 441 674 882 1011 1013 2022 2026 2359 3033 3039 4718 6066 6078 7077 7091 9117 14154 14182 16513 18234 21231 21273 33026 42462 42546 49539 49637 63819 99078 99274 127638 148617 148911 297234 297822 341381 446733 682762 893466 1024143 2048286 2389667 3072429 4779334 6144858 7169001 14338002 16727669 21507003 33455338 43014006 50183007 100366014 150549021 301098042