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34430286916 = 221942572
BaseRepresentation
bin100000000100001101…
…000111110001000100
310021212111122210111201
4200010031013301010
51031003123140131
623452252312244
72326133416144
oct400415076104
9107774583451
1034430286916
1113668aaa183
12680a772684
1333291a084c
1419489a8924
15d67a46761
hex804347c44

34430286916 has 45 divisors (see below), whose sum is σ = 63848800589. Its totient is φ = 16245623808.

The previous prime is 34430286889. The next prime is 34430286937. The reversal of 34430286916 is 61968203443.

The square root of 34430286916 is 185554.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 33896492100 + 533794816 = 184110^2 + 23104^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 133969860 + ... + 133970116.

Almost surely, 234430286916 is an apocalyptic number.

34430286916 is the 185554-th square number.

It is an amenable number.

34430286916 is a deficient number, since it is larger than the sum of its proper divisors (29418513673).

34430286916 is an frugal number, since it uses more digits than its factorization.

34430286916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 46.

The spelling of 34430286916 in words is "thirty-four billion, four hundred thirty million, two hundred eighty-six thousand, nine hundred sixteen".

Divisors: 1 2 4 19 38 76 257 361 514 722 1028 1444 4883 6859 9766 13718 19532 27436 66049 92777 130321 132098 185554 260642 264196 371108 521284 1254931 1762763 2509862 3525526 5019724 7051052 23843689 33492497 47687378 66984994 95374756 133969988 453030091 906060182 1812120364 8607571729 17215143458 34430286916