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3366939648 = 21034492441
BaseRepresentation
bin1100100010101111…
…0110110000000000
322200122111020220110
43020223312300000
523343414032043
61314033111320
7146302341402
oct31053666000
98618436813
103366939648
111478605656
1279b6b8540
1341871bba7
1423d242b72
1514a8c6b33
hexc8af6c00

3366939648 has 88 divisors (see below), whose sum is σ = 8997793200. Its totient is φ = 1119354880.

The previous prime is 3366939647. The next prime is 3366939683. The reversal of 3366939648 is 8469396633.

It is a super-2 number, since 2×33669396482 = 22672565186548727808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3366939647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1378108 + ... + 1380548.

It is an arithmetic number, because the mean of its divisors is an integer number (102247650).

Almost surely, 23366939648 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 3366939648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4498896600).

3366939648 is an abundant number, since it is smaller than the sum of its proper divisors (5630853552).

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

3366939648 is a wasteful number, since it uses less digits than its factorization.

3366939648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2913 (or 2895 counting only the distinct ones).

The product of its digits is 15116544, while the sum is 57.

The square root of 3366939648 is about 58025.3362592583. The cubic root of 3366939648 is about 1498.8049218895.

The spelling of 3366939648 in words is "three billion, three hundred sixty-six million, nine hundred thirty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 449 512 768 898 1024 1347 1536 1796 2441 2694 3072 3592 4882 5388 7184 7323 9764 10776 14368 14646 19528 21552 28736 29292 39056 43104 57472 58584 78112 86208 114944 117168 156224 172416 229888 234336 312448 344832 459776 468672 624896 689664 937344 1096009 1249792 1379328 1874688 2192018 2499584 3288027 3749376 4384036 6576054 7498752 8768072 13152108 17536144 26304216 35072288 52608432 70144576 105216864 140289152 210433728 280578304 420867456 561156608 841734912 1122313216 1683469824 3366939648