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3030144 = 27313607
BaseRepresentation
bin1011100011110010000000
312200221120120
423203302000
51233431034
6144540240
734520145
oct13436200
95627516
103030144
11178a657
121021680
138212b0
1458c3cc
153ecc49
hex2e3c80

3030144 has 64 divisors (see below), whose sum is σ = 8682240. Its totient is φ = 930816.

The previous prime is 3030143. The next prime is 3030149. The reversal of 3030144 is 4410303.

It is a tau number, because it is divible by the number of its divisors (64).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3030143) 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, 4689 + ... + 5295.

It is an arithmetic number, because the mean of its divisors is an integer number (135660).

Almost surely, 23030144 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 3030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4341120).

3030144 is an abundant number, since it is smaller than the sum of its proper divisors (5652096).

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

3030144 is a wasteful number, since it uses less digits than its factorization.

3030144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3030144 is about 1740.7308809807. The cubic root of 3030144 is about 144.7064055379.

Adding to 3030144 its reverse (4410303), we get a palindrome (7440447).

The spelling of 3030144 in words is "three million, thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 607 624 832 1214 1248 1664 1821 2428 2496 3642 4856 4992 7284 7891 9712 14568 15782 19424 23673 29136 31564 38848 47346 58272 63128 77696 94692 116544 126256 189384 233088 252512 378768 505024 757536 1010048 1515072 3030144