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3342248448 = 29372112367
BaseRepresentation
bin1100011100110110…
…1010101000000000
322121221000210221120
43013031222220000
523321103422243
61311351552240
7145552433400
oct30715525000
98557023846
103342248448
111465680800
1279338b680
13413585406
14239c56800
1514864ac83
hexc736aa00

3342248448 has 360 divisors, whose sum is σ = 11415894336. Its totient is φ = 865751040.

The previous prime is 3342248431. The next prime is 3342248449. The reversal of 3342248448 is 8448422433.

It is a super-2 number, since 2×33422484482 = 22341249376316817408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 (3342248449) 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 35 ways as a sum of consecutive naturals, for example, 9106761 + ... + 9107127.

Almost surely, 23342248448 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 3342248448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5707947168).

3342248448 is an abundant number, since it is smaller than the sum of its proper divisors (8073645888).

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

3342248448 is a wasteful number, since it uses less digits than its factorization.

3342248448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 390 counting only the distinct ones).

The product of its digits is 589824, while the sum is 42.

The square root of 3342248448 is about 57812.1825223715. The cubic root of 3342248448 is about 1495.1321379235.

The spelling of 3342248448 in words is "three billion, three hundred forty-two million, two hundred forty-eight thousand, four hundred forty-eight".