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3366144232 = 2311434212113
BaseRepresentation
bin1100100010100011…
…0100100011101000
322200120222211210121
43020220310203220
523343213103412
61314004053024
7146262516403
oct31050644350
98616884717
103366144232
111478111a90
1279b394174
13418500b29
1423d0b6d3a
1514a7bb107
hexc8a348e8

3366144232 has 64 divisors (see below), whose sum is σ = 7065495360. Its totient is φ = 1490227200.

The previous prime is 3366144217. The next prime is 3366144263. The reversal of 3366144232 is 2324416633.

It is a super-2 number, since 2×33661442322 = 22661853981253739648, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1592008 + ... + 1594120.

It is an arithmetic number, because the mean of its divisors is an integer number (110398365).

Almost surely, 23366144232 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 3366144232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3532747680).

3366144232 is an abundant number, since it is smaller than the sum of its proper divisors (3699351128).

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

3366144232 is a wasteful number, since it uses less digits than its factorization.

3366144232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594 (or 2590 counting only the distinct ones).

The product of its digits is 62208, while the sum is 34.

The square root of 3366144232 is about 58018.4818139875. The cubic root of 3366144232 is about 1498.6868851921.

The spelling of 3366144232 in words is "three billion, three hundred sixty-six million, one hundred forty-four thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 43 44 86 88 172 344 421 473 842 946 1684 1892 2113 3368 3784 4226 4631 8452 9262 16904 18103 18524 23243 36206 37048 46486 72412 90859 92972 144824 181718 185944 199133 363436 398266 726872 796532 889573 999449 1593064 1779146 1998898 3558292 3997796 7116584 7995592 9785303 19570606 38251639 39141212 76503278 78282424 153006556 306013112 420768029 841536058 1683072116 3366144232