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3368011428 = 223464116217
BaseRepresentation
bin1100100010111111…
…1100011010100100
322200201111201010000
43020233330122210
523344202331203
61314112101300
7146314424205
oct31057743244
98621451100
103368011428
111479177921
1279bb34830
13418a05992
1423d4415ac
1514aa394a3
hexc8bfc6a4

3368011428 has 60 divisors (see below), whose sum is σ = 8818926732. Its totient is φ = 1120849920.

The previous prime is 3368011397. The next prime is 3368011447. The reversal of 3368011428 is 8241108633.

It can be written as a sum of positive squares in 2 ways, for example, as 2884978944 + 483032484 = 53712^2 + 21978^2 .

It is a super-2 number, since 2×33680114282 = 22687001958277198368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3368011392 and 3368011401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 199576 + ... + 215792.

Almost surely, 23368011428 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 3368011428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4409463366).

3368011428 is an abundant number, since it is smaller than the sum of its proper divisors (5450915304).

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

3368011428 is a wasteful number, since it uses less digits than its factorization.

3368011428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16874 (or 16863 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3368011428 is about 58034.5709728262. The cubic root of 3368011428 is about 1498.9639405520.

The spelling of 3368011428 in words is "three billion, three hundred sixty-eight million, eleven thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 641 1282 1923 2564 3846 5769 7692 11538 16217 17307 23076 32434 34614 48651 51921 64868 69228 97302 103842 145953 194604 207684 291906 437859 583812 875718 1313577 1751436 2627154 5254308 10395097 20790194 31185291 41580388 62370582 93555873 124741164 187111746 280667619 374223492 561335238 842002857 1122670476 1684005714 3368011428