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3030240 = 253559107
BaseRepresentation
bin1011100011110011100000
312200221201010
423203303200
51233431430
6144540520
734520343
oct13436340
95627633
103030240
11178a734
121021740
13821355
1458c45a
153eccb0
hex2e3ce0

3030240 has 96 divisors (see below), whose sum is σ = 9797760. Its totient is φ = 786944.

The previous prime is 3030229. The next prime is 3030241. The reversal of 3030240 is 420303.

3030240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3030241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28267 + ... + 28373.

It is an arithmetic number, because the mean of its divisors is an integer number (102060).

Almost surely, 23030240 is an apocalyptic number.

3030240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3030240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4898880).

3030240 is an abundant number, since it is smaller than the sum of its proper divisors (6767520).

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

3030240 is a wasteful number, since it uses less digits than its factorization.

3030240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 3030240 is about 1740.7584553866. The cubic root of 3030240 is about 144.7079337016.

Adding to 3030240 its reverse (420303), we get a palindrome (3450543).

The spelling of 3030240 in words is "three million, thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 59 60 80 96 107 118 120 160 177 214 236 240 295 321 354 428 472 480 535 590 642 708 856 885 944 1070 1180 1284 1416 1605 1712 1770 1888 2140 2360 2568 2832 3210 3424 3540 4280 4720 5136 5664 6313 6420 7080 8560 9440 10272 12626 12840 14160 17120 18939 25252 25680 28320 31565 37878 50504 51360 63130 75756 94695 101008 126260 151512 189390 202016 252520 303024 378780 505040 606048 757560 1010080 1515120 3030240