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30312448 = 21119241
BaseRepresentation
bin111001110100…
…0100000000000
32010001000212021
41303220200000
530224444243
63001411224
7515436325
oct163504000
963030767
1030312448
1116124211
12a199b14
13638427a
144050b4c
1529db6ed
hex1ce8800

30312448 has 72 divisors (see below), whose sum is σ = 65528190. Its totient is φ = 14008320.

The previous prime is 30312437. The next prime is 30312473. The reversal of 30312448 is 84421303.

It can be written as a sum of positive squares in only one way, i.e., 29942784 + 369664 = 5472^2 + 608^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 739308 + ... + 739348.

Almost surely, 230312448 is an apocalyptic number.

30312448 is a gapful number since it is divisible by the number (38) 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 30312448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32764095).

30312448 is an abundant number, since it is smaller than the sum of its proper divisors (35215742).

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

30312448 is an equidigital number, since it uses as much as digits as its factorization.

30312448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 30312448 is about 5505.6741639875. The cubic root of 30312448 is about 311.7982478267.

The spelling of 30312448 in words is "thirty million, three hundred twelve thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 19 32 38 41 64 76 82 128 152 164 256 304 328 361 512 608 656 722 779 1024 1216 1312 1444 1558 2048 2432 2624 2888 3116 4864 5248 5776 6232 9728 10496 11552 12464 14801 19456 20992 23104 24928 29602 38912 41984 46208 49856 59204 83968 92416 99712 118408 184832 199424 236816 369664 398848 473632 739328 797696 947264 1595392 1894528 3789056 7578112 15156224 30312448