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30478128 = 24319231453
BaseRepresentation
bin111010001000…
…0111100110000
32010100110010120
41310100330300
530300300003
63005130240
7520026342
oct164207460
963313116
1030478128
111622773a
12a259980
1364117c5
144095292
152a20853
hex1d10f30

30478128 has 80 divisors (see below), whose sum is σ = 86542080. Its totient is φ = 9199872.

The previous prime is 30478117. The next prime is 30478141. The reversal of 30478128 is 82187403.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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, 20250 + ... + 21702.

It is an arithmetic number, because the mean of its divisors is an integer number (1081776).

Almost surely, 230478128 is an apocalyptic number.

30478128 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 30478128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43271040).

30478128 is an abundant number, since it is smaller than the sum of its proper divisors (56063952).

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

30478128 is a wasteful number, since it uses less digits than its factorization.

30478128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 30478128 is about 5520.6999556216. The cubic root of 30478128 is about 312.3652855081.

It can be divided in two parts, 3047 and 8128, that added together give a triangular number (11175 = T149).

The spelling of 30478128 in words is "thirty million, four hundred seventy-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 38 46 48 57 69 76 92 114 138 152 184 228 276 304 368 437 456 552 874 912 1104 1311 1453 1748 2622 2906 3496 4359 5244 5812 6992 8718 10488 11624 17436 20976 23248 27607 33419 34872 55214 66838 69744 82821 100257 110428 133676 165642 200514 220856 267352 331284 401028 441712 534704 634961 662568 802056 1269922 1325136 1604112 1904883 2539844 3809766 5079688 7619532 10159376 15239064 30478128