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30603144 = 233111337241
BaseRepresentation
bin111010010111…
…1011110001000
32010120210121210
41310233132020
530313300034
63011533120
7521056665
oct164573610
963523553
1030603144
1116302660
12a2ba1a0
136456690
1440c8a6c
152a478e9
hex1d2f788

30603144 has 128 divisors (see below), whose sum is σ = 92695680. Its totient is φ = 8294400.

The previous prime is 30603137. The next prime is 30603161. The reversal of 30603144 is 44130603.

It is a self number, because there is not a number n which added to its sum of digits gives 30603144.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126864 + ... + 127104.

It is an arithmetic number, because the mean of its divisors is an integer number (724185).

Almost surely, 230603144 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 30603144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46347840).

30603144 is an abundant number, since it is smaller than the sum of its proper divisors (62092536).

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

30603144 is a wasteful number, since it uses less digits than its factorization.

30603144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 30603144 is about 5532.0108459764. The cubic root of 30603144 is about 312.7917923117.

Adding to 30603144 its reverse (44130603), we get a palindrome (74733747).

The spelling of 30603144 in words is "thirty million, six hundred three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 37 39 44 52 66 74 78 88 104 111 132 143 148 156 222 241 264 286 296 312 407 429 444 481 482 572 723 814 858 888 962 964 1144 1221 1443 1446 1628 1716 1924 1928 2442 2651 2886 2892 3133 3256 3432 3848 4884 5291 5302 5772 5784 6266 7953 8917 9399 9768 10582 10604 11544 12532 15873 15906 17834 18798 21164 21208 25064 26751 31746 31812 34463 35668 37596 42328 53502 63492 63624 68926 71336 75192 98087 103389 107004 115921 126984 137852 196174 206778 214008 231842 275704 294261 347763 392348 413556 463684 588522 695526 784696 827112 927368 1177044 1275131 1391052 2354088 2550262 2782104 3825393 5100524 7650786 10201048 15301572 30603144