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30047328 = 253383419
BaseRepresentation
bin111001010011…
…1110001100000
32002112120012000
41302213301200
530143003303
62552004000
7513253353
oct162476140
962476160
1030047328
1115a63003
12a090600
1362c06ac
143dc229a
152987da3
hex1ca7c60

30047328 has 96 divisors (see below), whose sum is σ = 88905600. Its totient is φ = 9871488.

The previous prime is 30047323. The next prime is 30047333. The reversal of 30047328 is 82374003.

It is an interprime number because it is at equal distance from previous prime (30047323) and next prime (30047333).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30047321) 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, 71503 + ... + 71921.

It is an arithmetic number, because the mean of its divisors is an integer number (926100).

Almost surely, 230047328 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 30047328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44452800).

30047328 is an abundant number, since it is smaller than the sum of its proper divisors (58858272).

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

30047328 is a wasteful number, since it uses less digits than its factorization.

30047328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 30047328 is about 5481.5443079483. The cubic root of 30047328 is about 310.8865637446.

The spelling of 30047328 in words is "thirty million, forty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 83 96 108 144 166 216 249 288 332 419 432 498 664 747 838 864 996 1257 1328 1494 1676 1992 2241 2514 2656 2988 3352 3771 3984 4482 5028 5976 6704 7542 7968 8964 10056 11313 11952 13408 15084 17928 20112 22626 23904 30168 34777 35856 40224 45252 60336 69554 71712 90504 104331 120672 139108 181008 208662 278216 312993 362016 417324 556432 625986 834648 938979 1112864 1251972 1669296 1877958 2503944 3338592 3755916 5007888 7511832 10015776 15023664 30047328