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30409344 = 27347419
BaseRepresentation
bin111010000000…
…0001010000000
32010012221210000
41310000022000
530241044334
63003440000
7516321660
oct164001200
963187700
1030409344
111618aa99
12a226000
1363b93c4
1440781a0
152a0a299
hex1d00280

30409344 has 160 divisors (see below), whose sum is σ = 103672800. Its totient is φ = 8667648.

The previous prime is 30409343. The next prime is 30409349. The reversal of 30409344 is 44390403.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (30409343) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72367 + ... + 72785.

It is an arithmetic number, because the mean of its divisors is an integer number (647955).

Almost surely, 230409344 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 30409344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51836400).

30409344 is an abundant number, since it is smaller than the sum of its proper divisors (73263456).

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

30409344 is an equidigital number, since it uses as much as digits as its factorization.

30409344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 30409344 is about 5514.4667919936. The cubic root of 30409344 is about 312.1301232378.

Adding to 30409344 its reverse (44390403), we get a palindrome (74799747).

The spelling of 30409344 in words is "thirty million, four hundred nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 288 324 336 378 384 419 432 448 504 567 576 648 672 756 838 864 896 1008 1134 1152 1257 1296 1344 1512 1676 1728 2016 2268 2514 2592 2688 2933 3024 3352 3456 3771 4032 4536 5028 5184 5866 6048 6704 7542 8064 8799 9072 10056 10368 11313 11732 12096 13408 15084 17598 18144 20112 22626 23464 24192 26397 26816 30168 33939 35196 36288 40224 45252 46928 52794 53632 60336 67878 70392 72576 79191 80448 90504 93856 105588 120672 135756 140784 158382 160896 181008 187712 211176 237573 241344 271512 281568 316764 362016 375424 422352 475146 482688 543024 563136 633528 724032 844704 950292 1086048 1126272 1267056 1448064 1689408 1900584 2172096 2534112 3378816 3801168 4344192 5068224 7602336 10136448 15204672 30409344