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34305281442 = 23231675711607
BaseRepresentation
bin11111111100110000…
…010000110110100010
310021112210102212020100
4133330300100312202
51030224123001232
623432025123230
72323055036535
oct377460206642
9107483385210
1034305281442
1113604489773
126794929516
133309313503
141936148a1c
15d5baa2c7c
hex7fcc10da2

34305281442 has 96 divisors (see below), whose sum is σ = 78055870464. Its totient is φ = 10875189600.

The previous prime is 34305281419. The next prime is 34305281459. The reversal of 34305281442 is 24418250343.

34305281442 is a `hidden beast` number, since 34 + 305 + 281 + 4 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34305281397 and 34305281406.

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, 21346603 + ... + 21348209.

It is an arithmetic number, because the mean of its divisors is an integer number (813081984).

Almost surely, 234305281442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34305281442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39027935232).

34305281442 is an abundant number, since it is smaller than the sum of its proper divisors (43750589022).

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

34305281442 is a wasteful number, since it uses less digits than its factorization.

34305281442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2284 (or 2281 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 34305281442 in words is "thirty-four billion, three hundred five million, two hundred eighty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 31 62 67 93 134 186 201 279 402 558 571 603 1142 1206 1607 1713 2077 3214 3426 4154 4821 5139 6231 9642 10278 12462 14463 17701 18693 28926 35402 37386 38257 49817 53103 76514 99634 106206 107669 114771 149451 159309 215338 229542 298902 318618 323007 344313 448353 646014 688626 896706 917597 969021 1185967 1835194 1938042 2371934 2752791 3337739 3557901 5505582 6675478 7115802 8258373 10013217 10673703 16516746 20026434 21347406 28445507 30039651 56891014 60079302 61478999 85336521 122957998 170673042 184436997 256009563 368873994 512019126 553310991 1106621982 1905848969 3811697938 5717546907 11435093814 17152640721 34305281442