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30488832 = 283311401
BaseRepresentation
bin111010001001…
…1100100000000
32010100222211000
41310103210000
530301120312
63005252000
7520102503
oct164234400
963328730
1030488832
1116234790
12a264000
13641663a
14409913a
152a23adc
hex1d13900

30488832 has 144 divisors (see below), whose sum is σ = 98602560. Its totient is φ = 9216000.

The previous prime is 30488813. The next prime is 30488879. The reversal of 30488832 is 23888403.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75832 + ... + 76232.

It is an arithmetic number, because the mean of its divisors is an integer number (684740).

Almost surely, 230488832 is an apocalyptic number.

30488832 is a gapful number since it is divisible by the number (32) 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 30488832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49301280).

30488832 is an abundant number, since it is smaller than the sum of its proper divisors (68113728).

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

30488832 is a wasteful number, since it uses less digits than its factorization.

30488832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 30488832 is about 5521.6693128075. The cubic root of 30488832 is about 312.4018490690.

The spelling of 30488832 in words is "thirty million, four hundred eighty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 401 432 528 576 594 704 768 792 802 864 1056 1152 1188 1203 1408 1584 1604 1728 2112 2304 2376 2406 2816 3168 3208 3456 3609 4224 4411 4752 4812 6336 6416 6912 7218 8448 8822 9504 9624 10827 12672 12832 13233 14436 17644 19008 19248 21654 25344 25664 26466 28872 35288 38016 38496 39699 43308 51328 52932 57744 70576 76032 76992 79398 86616 102656 105864 115488 119097 141152 153984 158796 173232 211728 230976 238194 282304 307968 317592 346464 423456 461952 476388 564608 635184 692928 846912 923904 952776 1129216 1270368 1385856 1693824 1905552 2540736 2771712 3387648 3811104 5081472 7622208 10162944 15244416 30488832