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3363423648 = 253132695051
BaseRepresentation
bin1100100001111001…
…1100010110100000
322200101212121212020
43020132130112200
523342014024043
61313425501440
7146230425564
oct31036342640
98611777766
103363423648
111476623a72
1279a4a1880
13417a8a710
1423c9a96a4
1514a42ee83
hexc879c5a0

3363423648 has 48 divisors (see below), whose sum is σ = 9508143456. Its totient is φ = 1034899200.

The previous prime is 3363423601. The next prime is 3363423649. The reversal of 3363423648 is 8463243633.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×33634236482 = 22625237271851255808, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3363423649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1346278 + ... + 1348773.

It is an arithmetic number, because the mean of its divisors is an integer number (198086322).

Almost surely, 23363423648 is an apocalyptic number.

It is an amenable number.

3363423648 is an abundant number, since it is smaller than the sum of its proper divisors (6144719808).

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

3363423648 is a wasteful number, since it uses less digits than its factorization.

3363423648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2695077 (or 2695069 counting only the distinct ones).

The product of its digits is 746496, while the sum is 42.

The square root of 3363423648 is about 57995.0312354429. The cubic root of 3363423648 is about 1498.2830202926.

The spelling of 3363423648 in words is "three billion, three hundred sixty-three million, four hundred twenty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 2695051 5390102 8085153 10780204 16170306 21560408 32340612 35035663 43120816 64681224 70071326 86241632 105106989 129362448 140142652 210213978 258724896 280285304 420427956 560570608 840855912 1121141216 1681711824 3363423648