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30213344 = 2571931229
BaseRepresentation
bin111001101000…
…0010011100000
32002211222220202
41303100103200
530213311334
62555324332
7514544360
oct163202340
962758822
1030213344
1116066807
12a1506a8
13634b125
1440269a0
1529bc17e
hex1cd04e0

30213344 has 96 divisors (see below), whose sum is σ = 74188800. Its totient is φ = 11819520.

The previous prime is 30213341. The next prime is 30213353. The reversal of 30213344 is 44331203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30213341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131822 + ... + 132050.

It is an arithmetic number, because the mean of its divisors is an integer number (772800).

Almost surely, 230213344 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 30213344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37094400).

30213344 is an abundant number, since it is smaller than the sum of its proper divisors (43975456).

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

30213344 is a wasteful number, since it uses less digits than its factorization.

30213344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 288 counting only the distinct ones).

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

The square root of 30213344 is about 5496.6666262381. Note that the first 4 decimals coincide. The cubic root of 30213344 is about 311.4580774526.

Adding to 30213344 its reverse (44331203), we get a palindrome (74544547).

The spelling of 30213344 in words is "thirty million, two hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 31 32 38 56 62 76 112 124 133 152 217 224 229 248 266 304 434 458 496 532 589 608 868 916 992 1064 1178 1603 1736 1832 2128 2356 3206 3472 3664 4123 4256 4351 4712 6412 6944 7099 7328 8246 8702 9424 12824 14198 16492 17404 18848 25648 28396 30457 32984 34808 49693 51296 56792 60914 65968 69616 99386 113584 121828 131936 134881 139232 198772 227168 243656 269762 397544 487312 539524 795088 944167 974624 1079048 1590176 1888334 2158096 3776668 4316192 7553336 15106672 30213344