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3368039688 = 23321329312281
BaseRepresentation
bin1100100011000000…
…0011010100001000
322200201120010212200
43020300003110020
523344204232223
61314112440200
7146314602456
oct31060032410
98621503780
103368039688
111479197082
1279bb49060
13418a157c0
1423d44b9d6
1514aa42a43
hexc8c03508

3368039688 has 96 divisors (see below), whose sum is σ = 9857778840. Its totient is φ = 1032698880.

The previous prime is 3368039651. The next prime is 3368039747. The reversal of 3368039688 is 8869308633.

It can be written as a sum of positive squares in 4 ways, for example, as 3333676644 + 34363044 = 57738^2 + 5862^2 .

It is a super-2 number, since 2×33680396882 = 22687382679886274688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268108 + ... + 280388.

Almost surely, 23368039688 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 3368039688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4928889420).

3368039688 is an abundant number, since it is smaller than the sum of its proper divisors (6489739152).

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

3368039688 is a wasteful number, since it uses less digits than its factorization.

3368039688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12599 (or 12592 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The square root of 3368039688 is about 58034.8144478812. The cubic root of 3368039688 is about 1498.9681329964.

The spelling of 3368039688 in words is "three billion, three hundred sixty-eight million, thirty-nine thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 293 312 468 586 879 936 1172 1758 2344 2637 3516 3809 5274 7032 7618 10548 11427 12281 15236 21096 22854 24562 30472 34281 36843 45708 49124 68562 73686 91416 98248 110529 137124 147372 159653 221058 274248 294744 319306 442116 478959 638612 884232 957918 1277224 1436877 1915836 2873754 3598333 3831672 5747508 7196666 10794999 11495016 14393332 21589998 28786664 32384997 43179996 46778329 64769994 86359992 93556658 129539988 140334987 187113316 259079976 280669974 374226632 421004961 561339948 842009922 1122679896 1684019844 3368039688