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342220032024 = 233136735294639
BaseRepresentation
bin1001111101011011110…
…01110100100000011000
31012201022220100212122220
410332231321310200120
521101331312011044
6421114054544040
733503350163613
oct4765571644030
91181286325586
10342220032024
11122153317252
12563a8968020
132636ab07690
14127c64c317a
158d7e01d019
hex4fade74818

342220032024 has 128 divisors (see below), whose sum is σ = 935579904000. Its totient is φ = 103675106304.

The previous prime is 342220032017. The next prime is 342220032059. The reversal of 342220032024 is 420230022243.

It is a happy number.

342220032024 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3422200320242 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 342220031985 and 342220032003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73767897 + ... + 73772535.

It is an arithmetic number, because the mean of its divisors is an integer number (7309218000).

Almost surely, 2342220032024 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 342220032024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467789952000).

342220032024 is an abundant number, since it is smaller than the sum of its proper divisors (593359871976).

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

342220032024 is a wasteful number, since it uses less digits than its factorization.

342220032024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8257 (or 8253 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 342220032024 its reverse (420230022243), we get a palindrome (762450054267).

The spelling of 342220032024 in words is "three hundred forty-two billion, two hundred twenty million, thirty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 67 78 104 134 156 201 268 312 402 536 804 871 1608 1742 2613 3484 3529 4639 5226 6968 7058 9278 10452 10587 13917 14116 18556 20904 21174 27834 28232 37112 42348 45877 55668 60307 84696 91754 111336 120614 137631 180921 183508 236443 241228 275262 310813 361842 367016 472886 482456 550524 621626 709329 723684 932439 945772 1101048 1243252 1418658 1447368 1864878 1891544 2486504 2837316 3073759 3729756 4040569 5674632 6147518 7459512 8081138 9221277 12121707 12295036 16162276 16371031 18442554 24243414 24590072 32324552 32742062 36885108 48486828 49113093 65484124 73770216 96973656 98226186 130968248 196452372 212823403 392904744 425646806 638470209 851293612 1096859077 1276940418 1702587224 2193718154 2553880836 3290577231 4387436308 5107761672 6581154462 8774872616 13162308924 14259168001 26324617848 28518336002 42777504003 57036672004 85555008006 114073344008 171110016012 342220032024