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8034221034 = 235723102679
BaseRepresentation
bin1110111101110000…
…00111101111101010
3202201220210201100000
413132320013233222
5112423230033114
63405121123430
7403044515640
oct73670075752
922656721300
108034221034
1134531211a4
121682789576
139b0665458
14563055190
15320509e09
hex1dee07bea

8034221034 has 96 divisors (see below), whose sum is σ = 21528299520. Its totient is φ = 2195666352.

The previous prime is 8034221023. The next prime is 8034221071. The reversal of 8034221034 is 4301224308.

8034221034 is a `hidden beast` number, since 80 + 342 + 210 + 34 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 8034220989 and 8034221007.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26907 + ... + 129585.

It is an arithmetic number, because the mean of its divisors is an integer number (224253120).

Almost surely, 28034221034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8034221034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10764149760).

8034221034 is an abundant number, since it is smaller than the sum of its proper divisors (13494078486).

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

8034221034 is a wasteful number, since it uses less digits than its factorization.

8034221034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102726 (or 102714 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 8034221034 is about 89633.8163529814. The cubic root of 8034221034 is about 2002.8476962220.

The spelling of 8034221034 in words is "eight billion, thirty-four million, two hundred twenty-one thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 81 126 138 161 162 189 207 243 322 378 414 483 486 567 621 966 1134 1242 1449 1701 1863 2898 3402 3726 4347 5589 8694 11178 13041 26082 39123 78246 102679 205358 308037 616074 718753 924111 1437506 1848222 2156259 2361617 2772333 4312518 4723234 5544666 6468777 7084851 8316999 12937554 14169702 16531319 16633998 19406331 21254553 24950997 33062638 38812662 42509106 49593957 49901994 58218993 63763659 99187914 116437986 127527318 148781871 174656979 191290977 297563742 349313958 382581954 446345613 573872931 892691226 1147745862 1339036839 2678073678 4017110517 8034221034