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3332144 = 241997113
BaseRepresentation
bin1100101101100000110000
320021021211202
430231200300
51323112034
6155230332
740215464
oct14554060
96237752
103332144
111976542
1211483a8
138c88aa
1462a4a4
1545c47e
hex32d830

3332144 has 40 divisors (see below), whose sum is σ = 6926640. Its totient is φ = 1548288.

The previous prime is 3332137. The next prime is 3332149. The reversal of 3332144 is 4412333.

It is a super-2 number, since 2×33321442 = 22206367273472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3332149) 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, 29432 + ... + 29544.

It is an arithmetic number, because the mean of its divisors is an integer number (173166).

Almost surely, 23332144 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 3332144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3463320).

3332144 is an abundant number, since it is smaller than the sum of its proper divisors (3594496).

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

3332144 is a wasteful number, since it uses less digits than its factorization.

3332144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 231 counting only the distinct ones).

The product of its digits is 864, while the sum is 20.

The square root of 3332144 is about 1825.4161169443. The cubic root of 3332144 is about 149.3623898250.

Adding to 3332144 its reverse (4412333), we get a palindrome (7744477).

The spelling of 3332144 in words is "three million, three hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 38 76 97 113 152 194 226 304 388 452 776 904 1552 1808 1843 2147 3686 4294 7372 8588 10961 14744 17176 21922 29488 34352 43844 87688 175376 208259 416518 833036 1666072 3332144