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342222320034 = 23471607187793
BaseRepresentation
bin1001111101011100000…
…10100011000110100010
31012201100001200010020000
410332232002203012202
521101332403220114
6421114220000430
733503405503320
oct4765602430642
91181301603200
10342222320034
1112215463a271
12563a9690116
132636b428c2a
14127c691ad10
158d7e320e09
hex4fae0a31a2

342222320034 has 80 divisors (see below), whose sum is σ = 876928871808. Its totient is φ = 97716440448.

The previous prime is 342222320029. The next prime is 342222320039. The reversal of 342222320034 is 430023222243.

It is a happy number.

342222320034 is a `hidden beast` number, since 3 + 422 + 2 + 2 + 3 + 200 + 34 = 666.

It is an interprime number because it is at equal distance from previous prime (342222320029) and next prime (342222320039).

It is a super-2 number, since 2×3422223200342 (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (342222320039) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1728442 + ... + 1916234.

Almost surely, 2342222320034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342222320034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438464435904).

342222320034 is an abundant number, since it is smaller than the sum of its proper divisors (534706551774).

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

342222320034 is a wasteful number, since it uses less digits than its factorization.

342222320034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189421 (or 189412 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 342222320034 its reverse (430023222243), we get a palindrome (772245542277).

The spelling of 342222320034 in words is "three hundred forty-two billion, two hundred twenty-two million, three hundred twenty thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1134 1607 3214 4821 9642 11249 14463 22498 28926 33747 43389 67494 86778 101241 130167 187793 202482 260334 303723 375586 563379 607446 911169 1126758 1314551 1690137 1822338 2629102 3380274 3943653 5070411 7887306 10140822 11830959 15211233 23661918 30422466 35492877 70985754 106478631 212957262 301783351 603566702 905350053 1810700106 2112483457 2716050159 4224966914 5432100318 6337450371 8148150477 12674900742 16296300954 19012351113 24444451431 38024702226 48888902862 57037053339 114074106678 171111160017 342222320034