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3308435361 = 3472112832
BaseRepresentation
bin1100010100110010…
…1011011110100001
322112120101221010000
43011030223132201
523233424412421
61304143130213
7144662144100
oct30514533641
98476357100
103308435361
111448586500
12783ba3969
1340957697a
14235574037
151456bc226
hexc532b7a1

3308435361 has 135 divisors (see below), whose sum is σ = 6396339873. Its totient is φ = 1697960880.

The previous prime is 3308435329. The next prime is 3308435381. The reversal of 3308435361 is 1635348033.

The square root of 3308435361 is 57519.

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

3308435361 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3308435361 - 25 = 3308435329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3308435311) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 39860626 + ... + 39860708.

Almost surely, 23308435361 is an apocalyptic number.

3308435361 is the 57519-th square number.

3308435361 is the 28760-th centered octagonal number.

It is an amenable number.

3308435361 is a deficient number, since it is larger than the sum of its proper divisors (3087904512).

3308435361 is an equidigital number, since it uses as much as digits as its factorization.

3308435361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The cubic root of 3308435361 is about 1490.0730203093.

Multiplying 3308435361 by its sum of digits (36), we get a square (119103672996 = 3451142).

The spelling of 3308435361 in words is "three billion, three hundred eight million, four hundred thirty-five thousand, three hundred sixty-one".

Divisors: 1 3 7 9 11 21 27 33 49 63 77 81 83 99 121 147 189 231 249 297 363 441 539 567 581 693 747 847 891 913 1089 1323 1617 1743 2079 2241 2541 2739 3267 3969 4067 4851 5229 5929 6237 6391 6723 6889 7623 8217 9801 10043 12201 14553 15687 17787 19173 20667 22869 24651 30129 36603 43659 44737 47061 48223 53361 57519 62001 68607 70301 73953 75779 90387 109809 134211 144669 160083 172557 186003 210903 227337 271161 329427 337561 402633 434007 480249 492107 517671 530453 558009 632709 682011 813483 833569 1012683 1207899 1302021 1476321 1591359 1898127 2046033 2500707 3038049 3623697 3713171 3906063 4428963 4774077 5694381 5834983 6138099 7502121 9114147 11139513 13286889 14322231 17504949 22506363 27342441 33418539 39860667 40844881 42966693 52514847 67519089 100255617 122534643 157544541 300766851 367603929 472633623 1102811787 3308435361