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30173328 = 2432317661
BaseRepresentation
bin111001100011…
…0100010010000
32002202222000200
41303012202100
530211021303
62554415200
7514316613
oct163064220
962688020
1030173328
1116039739
12a131500
136335b53
14401617a
1529b03a3
hex1cc6890

30173328 has 60 divisors (see below), whose sum is σ = 84837948. Its totient is φ = 10010880.

The previous prime is 30173293. The next prime is 30173347. The reversal of 30173328 is 82337103.

It can be written as a sum of positive squares in 2 ways, for example, as 11614464 + 18558864 = 3408^2 + 4308^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45318 + ... + 45978.

Almost surely, 230173328 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 30173328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42418974).

30173328 is an abundant number, since it is smaller than the sum of its proper divisors (54664620).

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

30173328 is a wasteful number, since it uses less digits than its factorization.

30173328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 30173328 is about 5493.0253958998. The cubic root of 30173328 is about 311.3205133704.

The spelling of 30173328 in words is "thirty million, one hundred seventy-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 317 634 661 951 1268 1322 1902 1983 2536 2644 2853 3804 3966 5072 5288 5706 5949 7608 7932 10576 11412 11898 15216 15864 22824 23796 31728 45648 47592 95184 209537 419074 628611 838148 1257222 1676296 1885833 2514444 3352592 3771666 5028888 7543332 10057776 15086664 30173328