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30073320 = 2332583537
BaseRepresentation
bin111001010111…
…0000111101000
32002120212211200
41302232013220
530144321240
62552324200
7513422214
oct162560750
962525750
1030073320
1115a80592
12a0a3660
1362cc484
143dcb944
152990930
hex1cae1e8

30073320 has 48 divisors (see below), whose sum is σ = 97739460. Its totient is φ = 8019456.

The previous prime is 30073301. The next prime is 30073343. The reversal of 30073320 is 2337003.

It can be written as a sum of positive squares in 2 ways, for example, as 27311076 + 2762244 = 5226^2 + 1662^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30073293 and 30073302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41409 + ... + 42128.

Almost surely, 230073320 is an apocalyptic number.

30073320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30073320 is an abundant number, since it is smaller than the sum of its proper divisors (67666140).

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

30073320 is a wasteful number, since it uses less digits than its factorization.

30073320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83554 (or 83547 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 18.

The square root of 30073320 is about 5483.9146601675. The cubic root of 30073320 is about 310.9761805284.

The spelling of 30073320 in words is "thirty million, seventy-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 83537 167074 250611 334148 417685 501222 668296 751833 835370 1002444 1253055 1503666 1670740 2004888 2506110 3007332 3341480 3759165 5012220 6014664 7518330 10024440 15036660 30073320